Which lot more hard top?
Carol Gardens
3/4 of the lot will be playground for children.
2/5 of the playground will be hardtop for basketball.
Flatbush
2/5 of the lot will be playground for children.
3/4 of the playground will be hardtop for basketball.
The width is 100 meters and the length is 50 meters.
(both lots are the same size)
Draw a picture that shows the two lots to figure out the answer.
Carol Gardens
The pink shows how much playground is in carol gardens. This is 3/4 of the lot.
Now, we have to divide the playground (the pink) into fifths in order to get the answer. Once you cut 3/4 into fifths there would be 20 pieces but fifteen of the pieces is playground. We then have to change the denominator of 5 into a denominator of 15 so we could know how many squares to colour in. So, 2/5 times the bottom to 20 is 3. What you do to the top you do to the bottom so 2x3=6. So that means you have to colour in 6 out of 15 squares.
Flatbush
The blue part of this picture is how big is the playground in the lot. It is 2/5 of the lot.
We have to divide the playground (the blue) into fourths in order to get the answer. Cut 2/5 into fourths there would be 20 pieces but eight of the pieces is playground. We then have to change the denominator of 4 into a denominator of 8 so we could know how many squares to colour in. So, 3/4 times the bottom to 20 is 3. What you do to the top you do to the bottom so 3x2=6. So that means you have to colour in 6 out of 8 squares.
From the two pictures you could see that both of the hardtops are equivalent. They both make a fraction of 6/20. So, the answer is the Carol Gardens and the Flatbush have the same amount of hardtop on their playgrounds.
The next scribe is.... MAARC ! :D
