### Multiplying Fractions

Thursday, April 30, 2009

### Multiplying Fractions

Wednesday, April 29, 2009

### Math homework Avery's and Vincent's

yesterday we had a homework in math and we were suppose to do it in groups of 2. So here are the questions and answer.

### Scribe Post for April 29th, 2009

Today we learned how to divide Fractions and some of it's differences from multiplying fractions.

Such as,
what the two different math types say.
eg. 6 / 1/2 = this division question would say, how many groups of 1/2 are in 6
6 * 1/2 = this multiplication question would say 6 groups of 1/2

Homework:
We had 3 questions for our homework and we`d have to show how to do all of them 2 ways,
I`ll show photos on how to do the last 2 questions.

6 / 2/3 ,
1/2 / 1/4 ,

2 / 3/4 ,

### Multiplying Fractions

Today in Math class, Mr. Harbeck gave us an assignment. He gave us a sheet of paper with word problems. You and a partner are supposed to answer all of the word problems and put it in Google documents, a picture or just blogger and send it to your partner. Here's our Google presentation:

### Question Word Problems

We were given an assignment to complete 8 word problems with a partner and showcase the work using some blogger, google docs, etc. Below is Alex's and my presentation. Please comment, and hopefully enjoy! (:

### Questions!

Tuesday, April 28, 2009
These are the answers to our questions! Done by Liem and Jowella!!

### Kevin and Rinorm's post [April 28, 2009]

Kevin and Rinorm's post for fractions.

6. One week, Kristi worked 3 days at a department store for 3 1/2 hours each day. She was paid \$9 per hour.
a)How many hours did Kristi work that week? Show your thinking.
3 1/2 x 3=
I will turn the mixed number into an improper fraction now.
7/2 x 3=
21/2=
10 1/2=
Kristi worked 10 1/2 hours that week.

b)How much did Kristi earn that week?
I will take the hours that she had worked this week
10 1/2 x 9=
I will turn the mixed number into an improper fraction now.
21/2 x 9=
189/2=
94 1/2=
She earned \$94.50 that week.

11. Owen is 2 1/4 times as old as Robin celebrates his 8th birthday, how old will Owen be?
2 1/4 x 8=
9/4 x 8=
72/4=
18=
Owen is 18 years old when Robin turns 8.

12. The karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?
3 1/4 x 3=
13/4 x 3=
39/4=
9 3/4 hours=
It would take 9 3/4 hours to test 3 groups of 4 candidates.

9) The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?
3 1/2 x 4/5=
7/2 x 4/5=
28/10=
2 8/10=
2 4/5
It will take 2 4/5 hours to get to Grandma's house.

10) It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking.
3/5 x 5=
3/5 + 3/5 + 3/5 + 3/5 + 3/5=
15/5=
3
3 gas tanks is used over 5 work days.

7) Jupiter completes about 2 2/5 rotations every 24 hours (an Earth day). How many rotations does Jupiter complete in one Earth week? Show your thinking.
2 2/4 x 7=
12/5 x 7=
84/5=
16 4/5
Jupiter completes 16 4/5 rotations in 1 Earth week.

8) A sailboat is sailing at 8 1/2 km/h. If the weather conditions and the current do not change, how far will the sailboat travel in 1 1/3 hour? Show your thinking.
8 1/2 x 1 1/3=
12/2 x 4/3=
68/6=
11 2/6
The sailboat will travel 11 2/6 km in 1 1/3 hours.

### Multiplying Fractions Questions

Today, Mr. Harbeck assigned us 7 questions for multiplying fractions. We had partners, and we had to create a post explaining our answers.

6. One week, Kristi worked 3 days at a department store for 3 1/2 hours each day. She was paid \$9/hour.

a) How many hours did Kristi work that week? Show your thinking.
To get the answer, multiply how many days she worked by how many hours she worked each day.

Kristi worked 10 1/2 hours in that week.

b) How much did Kristi earn that week?
Kristi earned \$94.50 that week.

7. Jupiter completes about 2 2/5 rotations every 24 hours (an Earth day). How many rotations does Jupiter complete in one week? Show your thinking.

To get the answer, you multiply the number of rotations Jupiter completes every 24 hours by the number of days in a week.

Jupiter completes 16 4/5 rotations in one Earth week.

8. A sailboat is sailing at 8 1/2 km/h. If the weather conditions and the current do not change, how far will the sailboat travel in 1 1/3 h? Show your thinking.

To get the answer, you multiply the amount of speed its going a km per hour by the amount of times to been travelling.

The boat will travel 11 1/3 km in 1 1/3 hours.

9. The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?

To get the answer, multiply the distance to Uncle Glen's house to Grandma's by how many hours away Uncle Glen's house is.

It will take 2 hours and 48 minutes to get to Grandma's house.

10. It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking.

To get the answer, you multiply the the fraction of how many gas is used in one day by how many days it is used for.

3 tanks of gas are used over 5 work days.

11. Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th birthday, how old will Owen be?

To get the answer, you have to multiply Robin's age (8/1) by how much older Owen is than Robin (2 1/4).

On Robin's 8th birthday, Owen will be 18 years old.

12. The karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?

To get the answer, you have to multiply how many hours it takes to test a group of 4 by how many groups are there in total.

It will take the club 9 hours and 45 minutes to process 3 groups of 4 candidates.

### Scribe Post for Monday, April 27th, 2009

Im sorry that this scribe is a little late but Im going to make up for it by helping a few of you understand what we are doing in class these days. We are learning about multiplying fractions.

Now here are a few questions and answers for you.
(left=numerator right=denominator)
9/10  x  5/18=
You multiply the numerators then the denominators.
45/180 divided by 5 is 9/36
9/36 divided by 9 is 1/4
The final simplified answer is one fourth

14/3  x  6/7=
To help you answer this question you could switch the numerators because nothing would happen if you just switch the numerators around a little to make it look more friendly.
6/3  x  14/7=
As you can see I switched the numerators. 14 is now over 7 and 6 is now over 3.
6/3  x  14/7=2  x  2=4

Well, I have to go now. Sorry if I have not explained it to you properly but hey, at least I tried. If you did understand me then good for you (Y) Please comment and sorry for such a short scribepost.

### April 27 2009 Mark and Josh

Hello! Today in class we were given homework with a partner. In this post Josh and I(Mark Marquez) will show you what we did. Josh did 6, 7, and 8. Mark is doing 9, 10, 11, and 12.
6)
7)
8)

9)

10)
11)
12)

### skills assignment

Monday, April 27, 2009
click the picture (:

### Skills Assignment 3

Today in Skills, Mr.Herbeck gave us an assignment. This assignment would give us 10 extra mark so I might as well do it for extra marks.
Question: Are 2/5 of 3/4 the same as 3/4 of 2/5?
Well do they look the same to you? Well lets find out by using Pictures and numbers!

1. 2/5 and 3/4

Well Since the other one is still the same, do you think I'm still going to do it? Yes but in Picture!

Well I guess their both the same. Thank you for looking at my assignment! :)

cliiiiick the picture!!! (:

### Skills Assignment #3

For our third skills assignment we had to explain if 2/5 of 3/4 the same as 3/4 and 2/5?
Okay, 2/5 of 3/4 and 3/4 of 2/5 are actually the same but the fractions are just switched around. Okay lets draw a picture of them showing how they are equal.So I guess their the same! Thanks for viewing my assignment!!

### Skills: Fractions 3

In skills class, we were assigned to do another post about fractions. The question is: Are 2/5 of 3/4 the same as 3/4 of 2/5? We will find out by using pictures.

This is 2/5 of 3/4 :

To find out how to do this you need to multiply the fractions and to do that you have to multiply the numerators and the denominators.
numerators: 2 x 3 = 6
denominators: 5 x 4 = 20
So the answer is 6/20 or when simplified: 3/10

This is 3/4 of 2/5:

numerators: 3 x 2 = 6
denominators: 4 x 5 = 20

So, as you can see they're the same (:

### Skills Assignment 3

For our third post for math skills, we were assigned to explain if 2/5 of 3/4 are the same as 3/4 of 2/3. To find out, I am going to use pictures and multiplication.

2/5 of 3/4
Multiplication:

Picture:
______________________________________________________________

3/4 of 2/5:
Multiplication:

Picture:

As you can see, 2/5 of 3/4 and 3/4 of 2/5 are the same. They both are equivalent to 6/20.

### Skills Post # 1

Sunday, April 26, 2009
One day In class Mr.Harbeck was teaching us about fractions and how 2 fractions can be the same, but one is more precise.

Question 1. 2/3 or 3/4

They both look the same. 2/3 is 4/6 simplified. One is more precise.

4/6 is more precise than 2/3. That is true because if you were to turn those to fractions in to decimals ... it would be.. 0.6666667 ( 2/3 ) and.. 0.66666667 ( 4/6 ).

4/6 is more precise because it has more place value.

Question 2. 1/8 or 1/4

1/4 is obviously bigger than 1/8 ... but why ?
If you look at the picture above , 1/4 is a bigger portion than 1/8. When you look at the denominator you see that 8 is bigger than 4 , so many people might think that 1/8 is larger than 1/4. But when you look at a fraction... the lower the denominator , the bigger the piece. What would you rather have.. 1 of 4 slices from a pizza or 1 of 8 slices from a pizza? 1 of 4 right? Because its cut into less pieces which makes each piece bigger.

### Scribepost

Scribe post for April 23!(Fractions~)

On Thursday, we had a word problem about fractions...It was about Carrol Gardens and Flatbush. they both have an area of 100mx50m.

The question is...Who gets more hard top? Explain your answer... (pretend that you are explaining it to a person who doesn't know a lot about fraction...)
Carrol Gardens has: 3/4 playground 2/5 hardtop Flatbush has: 2/5 playground 3/4 hard top
Now we have to compare 2/5 to 3/4. But how???(I bet right know you could tell who had more hardtop right?but getting the answer isn't that important as to how you got the answer...)
There are a lot of ways to explain how you got the answer. Like...drawing a picture.

As you can see, 2/4 is more than 2/5. This is one way you can prove you're right...but is this really enough?Well if you can't draw... then you need to back up you answer with........decimals and

percents.
How do you convert fractions into decimals???
It's not that hard to do, just divide the numerator from the denominator.
Like this:
2/5
2 divided by 5=0.4
3/4 3 divided by 4=0.75
Then compare..
You can see that 0.75 is larger than 0.4(or 0.40 it doesn't really make a difference, it just makes it more easier to compare)
This it another way you could show your thinking...There is one more way I could show you how you can show your thinking.It's making the denominators the same.Like this:
So now that you know that 2/5(8/20) is smallar that 3/4(14/20) You can say that Carrol Gardens has more hardtop than flat bush because 2/5(flatbush) is smaller than 3/4(Carrol Gardens)

### Skills Assignment #2

Saturday, April 25, 2009
On Thursday Mr.Herbeck gave us a skill homework. Its about Fraction, I'll show you 2 ways of finding the answer in subtracting fractions. Here is one way of finding the answer. (In subtract)
This is Borrowing

Now there is another way of finding the answer in mixed subtract fraction. Here is another way. This is call the improper fraction way.

Well those are all the way of finding the answer of mixed subtracting fractions. You can find more but I don't their is more. Well thanks for looking at my assignment! BYE!!

### Skills : Fractions 2

In math class, we talked about subtracting fractions. To be able to subtract fractions, it has to have the same denominators. To get the same denominator you look for the lowest common denominator for example: 1/4 - 1/8, you can't subtract that because the denominators are different so you have to look for the lowest common denominator which is 8, you need to change 1/4 so the numerator is 2 and the denominator is 8. 2/8 - 1/8, is much better and you can now subtract. Mr. Harbeck also taught us how to subtract mixed fractions using two very effective techniques.

The first one is: turning it into an improper fraction, denominator x whole number + numerator = improper fraction. For example: 2 1/2 - 1 3/4 = ?, if you change it, it will be like this: 2 2/4 - 1 3/4. You can subtract 2 and 1 but you can't subtract 2 and 1 so you have to change it into an improper fraction: 10/4 - 7/4 = 3/4

The second one is: the borrowing technique, we use this when the numerator is too big. For example: 625 1/2 - 100 3/4 = ? or as an improper fraction: 1251/2 - 403 = ?, isn't that a bit more complicated? But, if you just borrow like this: ( 624 4/4 + 2/4) - 100 3/4 = ?, is much better because all you have to do is this:

Add 624 4/4 and 2/4 and the answer is 624 6/4. Then, you subtract 624 6/4 and 100 3/4 and the answer is 524 3/4.

Now, subtracting fractions are much easier whether it's improper, proper or mixed. (:

### Scribe post for April 23

Sorry if I created my post 2 days later, but on Thursday we were assigned a question. The question was to see which park had more hardtop than the other (Carrol Gardens and Flatbush). The information contained that 3/4 of Carrol Gardens will be playground; 2/5 of the playground will be hardtop. For Flatbush, 2/5 of the lot will be playground; 3/4 of the playground will be hardtop. Both of the parks are 100m x 50m. Is one neighbourhood getting more than the other? Well, let's draw a picture.

Carrol Gardens:
If you divided Carrol Gardens into fourths of the park and colour 3/4 of it, that will be your playground. Then if you divided the playground into fifths and colour 2/5 of it, that will be your hardtop. The hardtop is 6/20 of the park.

Flatbush:
If you divided Flatbush into fifths and colour 2/5 of it, that will be your playground. Then if you divided the playground into fourths and colour 3/4 of it, that will be your hardtop. The hardtop will also be 6/20 of the park.

As you can see in the pictures, you'll have the same amount of hardtop. So, to the answer of my question... no, one neighborhood is not getting more hardtop than the other.

### BOB on Fractions

As you might know, we were able to get a bonus mark if we did a post on what we learned about fractions. So, this is mine...

One thing I learned about fractions was adding them. I didn't know you were supposed to have a common denominator when you were adding them, but now I understand that the denominator must be the same when comparing two or more wholes. After all, you wouldn't compare a Blu-Ray player with a VCR, right? It just wouldn't make sense. The wholes must be the same size.
One thing I had difficulty with was using the 'borrowing' technique. I didn't quite understand it because it had initially confused me at first. Mr. H had said it was much easier compared to
changing a mixed number to an improper fractions and all that. But once I looked over the example a few times I finally understood what we were supposed to do when 'borrowing', and it really is much easier and less time consuming rather than changing the mixed number into an improper fraction. Just think about all the paper and graphite you'd be saving! ;)

Overall, I learned a lot about fractions. I never really enjoyed learning about fractions before but learning about the 'borrowing' technique has really begun to brighten my perspective on the whole subject. I hope this post isn't late!

### Scribe Post for April 23 2009

Friday, April 24, 2009
Hi everyone! During yesterdays math class we were given a word problem about parks in New York City. The parks were Carol Gardens and Flatbush. People think that the children of New York City should get a place to play, so they decided to make some lots have a playground and some blacktop so that children were able to play blacktop games, like basketball for instance.

Both places have the same area, 100 M by 50 M. 3/4 of the lot will be playground and 2/5 of the playground will be hardtop. Our goal is to find out which park will have more hardtop. Note that both lots are rectangular.
Flatbush
The image above is a representation of the Flatbush lot. 2/5 of the whole lot is the playground. Above is a representation of how much of the lot will be playground. Now 3/4 of that 2/5 will blacktop.
We're trying to find how many times 3/4 will fit into 2/5 evenly, since 2/5 of the lot is playground and 3/4 of that (2/5) is hardtop. To do so we divide 2/5 by 3/4.
One of the most easiest ways to compare fractions is to divide the numerator by the denominator, or finding the decimal. 8 divided by 15 is 0.53 repeated.

Carol Gardens

Above is a representation of Carol Gardens. As you can see it is identical to Flatbush. 3/4 of the whole lot is the playground.

2/5 of the playground (3/4 of the whole lot) is hardtop.

The darker shaded area is the hardtop. We're trying to find how many times 2/5 can fit into 3/4 evenly, because 3/4 of the lot is the playground and 2/5 of that is the hardtop. To do that you divide 3/4 by 2/5.

1.875 is 15/8 in decimal form.

Which brings us back to our main goal... Which park gets more blacktop than the other?
As mentioned previously, one of the easiest ways to compare fractions is to convert the fraction into a decimal. Flatbush gets 8/15 of hardtop, or 0.53 repeated. Carol Gardens gets 15/8 of hardtop, or 1.875. So, Carol Gardens gets more hardtop than Flatbush. I hope this helps and that you're all well! (:
Please feel welcome to comment if I've made a mistake, or have done this word problem incorrectly!

The next scribe will be Nikki.

### April 20/2009 scribe post

Monday, April 20, 2009
Today's homework was 10 questions from page C-42 E,D,T,H,(top half) E,N,W,H(bottom half) but ... I will only go over 5 of them! :) First question: E) 3 11/12 + 7 3/8= 22/24+9/24
= 31/24 <----- How many times does 24 go into 31 ? once = 1 whats left over? 7/24 +1 3+7=10 +1=11 +7/24
117/24
D) 51/3-1 2/7= 7/21-36/21 =29/21 <------- How many times does 21 go into 29? 1 8/21 5-1=4+1
= 5 8/21

T)
2 4/9 + 5 1/2 = 8/18+9/18 =17/18 2+5=717/18 H) 12 5/6 - 11 8/9 = 45/54 - 24/54 = 21/54 12-11= 1 21/54

-------------------------------------------------------------------------------------------------
Bottom half
N) 27 7/8 - 2 4/5 = 35/40- 32/40 = 3/40 27-2 = 25 3/40 Hope you enjoyed my scribe! :) Sorry if there are mistakes! ") The next scribe will be KEVIN !!!! Haha!

### Scribe Post for April 17th

Sunday, April 19, 2009
Today in Math class, Mr.H gave us a worksheet with subtracting ad adding fractions.

Here are 5 questions that I answered, from the worksheet p.42

N.

E.

T.

D.
H.