Question

Leon raked bags of leaves from his neighbors' yards. Monday he raked ½ of a bag of leaves, Tuesday he raked ; g of a bag, and Wednesday he raked a of a bag. If he combines the leaves, will Leon need more than one bag? Explain.

Answer 1

To determine if Leon will need more than one bag, we need to add up the amount of leaves he raked each day:

Monday: 1/2 bag
Tuesday: 3/4 bag
Wednesday: 1/4 bag

To add these fractions, we need to find a common denominator. The smallest common denominator for 2, 4, and 4 is 4. So we can rewrite the fractions with a denominator of 4:

Monday: 2/4 bag
Tuesday: 3/4 bag
Wednesday: 1/4 bag

Now we can add the fractions:

2/4 + 3/4 + 1/4 = 6/4

The sum of the fractions is 6/4, which simplifies to 1 2/4 or 1 1/2 bags.

Therefore, Leon will need more than one bag to hold all the leaves he raked.