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.
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.
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.