817 Math Blog

Today in class, we learned about adding fractions. Mr. Harbeck gave us an example which was, 1/2 + 1/3. He said it equaled 2/5, and asked if it was correct.



This picture says, 1/2 + 1/3 is bigger than
2/5 when you compare it. So it makes it wrong.















What you need to add fractions is common denominators (you get it by multiplying the 2 denominators) and the same size pieces. So for 1/2 + 1/3, the denominator is going to be 6.

In our Math class, Mr. Harbeck was teaching us about fractions, and how you compare them. During our Skills class, Mr. Harbeck told us to find two different ways between two fractions. We were assigned to show if the fractions were the same, smaller, or bigger. The way you find out if a fraction is bigger, smaller or the same is by using a picture, or a decimal.

The first fraction we were given was; 2/3 and 4/6. Is 2/3 bigger, smaller, or the same as 4/6? To find out, let's find the decimal of the two fractions.

DECIMAL :
First you divide 2 by 3, and you get 0.666 [repeating]. Then you divide, 4 by 6 and you get 0.666 [repeating]. So now, you know that these two fractions are the same! Another way you can say they're the same is saying that they are equivalent.

PICTURE :The second fraction Mr. Harbeck gave us was; 1/8 and 1/4. Is 1/8 bigger, smaller or the same as 1/4? To find the answer, we do the same thing as the first one.

DECIMAL :
First, you divide 1 by 8. You get, 0.125, and when you divide 1 by 4. You get, 0.25.
This proves that 1/4, is bigger than 1/8.

PICTURE :

My terrible thing xD.

2/3 and 4/6
two easy ways to find that they are equal :].
First look you can convert into %'s. How you can do this is you take 100 and divide it by the denominator. So you would split 100 into 3 parts and into 6 parts. When dividing 100 into 3 parts its 33.333 on going but we just say 33.3. So 1 part is 33% add another part to that and it equals 66%. 66% is when you have 2 thirds of a number. Finally you do the same thing to the 4/6 each part is around 16.6% on going so when you add two together its about 33.3 % 2/6 is equal to 1/3 add 2 to 2/6 which is another 30% and you have 2/3 and 4/6 being the same number [ 66% ].

Another way is simplying.
all you have to do is find out if you are able to half the numerator and denominator with it still being a whole number.
When you half 4/6 4 divided by 2 and 6 divided by 2 it is equal to 2/3 which is obviously equal to 2/3.


2 different ways to find which is greater between
1/8 and 1/4
For this you are definetly able to convert into %'s.
you know that 1/4 is 1 quarter of 100. Divide 100 by 4 and that equals 25%. 1/8 is half of 1/4 so that means that it is half of 25. 1/8 is equal to 12.5% which means for sure that 1/4 is bigger.

In decimals this may be a little confusing for some people

0.125 [1/8]
0.25 [1/4]

as you can see the 1/8 looks bigger. But it is not. This is something called place values. here is the example.

0.125[000]
0.25[0000]

It doesnt matter how many 0's are behind it the closest place value to the whole is whats determined to find the real answer.

okay I hope this made sense.

During the past week in math class Mr. Harbeck has been teaching us about fractions and how to compare them. During skills class Mr. Harbeck told us to find two different ways between two fractions. With those two fractions we have to show if they're bigger, smaller, or the same. There are two ways to find out when showing if a fraction is bigger, smaller or the same: by using a decimal and a picture.

In math class, we learned about different kinds of fractions and how to compare them. Mr. Harbeck asked us to compare fractions and gave us questions where you determine which fraction is >,< or =".">,< or =" in" style="font-weight: bold; color: rgb(204, 0, 0);">

Decimal:

2/3 = 0.666 (repeating) 4/6 = 0.666 (repeating)
So, 2/3 and 4/6 is equal because it's the same.

* To find out the decimal you have to divide the numerator by the denominator.

Picture:



































2/3 and 4/6 may be equal but they are not the same. Let's say you and your friend found a whole pizza in your house. You cut the pie into 3 pieces, 1 for you, 1 for your friend and an extra 1. Then suddenly 2 more people come and asked for pizza so you cut the pizza in 6 and not 3 pieces. Suddenly, your mom comes home and asks how come 2/3 of the pizza is gone? You say 4/6 of the pizza is gone and not 2/3 because 4/6 is more precise. You cut the pizza in more pieces and took more for 4 people.

Another example is 1/4 and 1/8. Are they >,< or ="?" style="font-weight: bold; color: rgb(204, 0, 0);">Decimal:

1/4 -----> 0.25
1/8 -----> 0.125




















So 1/4 is larger than 1/8.

Picture:



















1/4 is greater than 1/8.Both fractions have 1 as the numerator, fractions with 1 as a numerator are called unit fractions, and different denominators. This one is easier because the numerators are the same and it is larger when it has a smaller denominator. 1/4 is greater than 1/8. (:

In skills class, Mr. Harbeck asked us to create a post about Fraction. You guys might remember these fractions because they were for homework. So for our homework we had to explain if they were =<> (equal,greater than and less than) the fraction pairs we are dealing with are 2/3 and 4/6. And we also had 1/8 and 1/4. So lets start with 2/3 and 4/6 is it greater than, less than equal to? Well if you divide 2 by 3 you get: o.6 repeating then 4 by 6 you get:0.6 repeating so as you can see here, they are both the same. But lets look at it from another standpoint, lets see what it looks like in pictures :




4/6







3/6






wow! they are still them same! But which one is more precise?
I would say 4/6 is more precise.

Now we'll look at 1/8 and 1/4



1/4








1/8






So as we can see, 1/4 is bigger than 1/8.

Okay now if we divide it 1 by 4 =0.25
then 1 by 8=0.125

so as we can see here 1/8 is bigger, but which is more precise?
1/4 is more precise!


Hope I've helped someone?!

Happy Fractions! ☺

This week, we began our new topic: fractions. During math skills, we were asked to compare fractions. There are two ways to compare; by using pictures and decimals. By comparing fractions with pictures, you are able to see the amount of pieces and which represents the numerator. When you compare fractions with decimals, you compare them by using the place values. For example, compare 2/3 and 4/6.