han ate 3 apples out of a bag of 6 apples. lester ate 2 apples out of a bag of 5 apples. use equivalent fractions to decide if han or lester ate a larger part of the total apples from each bag. explain your answer

3/6 = 15/30

2/5 = 12/30

A bag of apples weighs 8

7
10
pounds. A crate of bananas is 6 times as heavy as the apples. What is the total weight of the fruit?

To compare the amounts Han and Lester ate, we can find equivalent fractions that represent the portions they consumed from each bag.

First, let's determine the fraction Han ate. Han ate 3 apples out of a bag of 6 apples. We can express this as a fraction by writing 3/6.

To get an equivalent fraction, we can simplify it by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 3 and 6 is 3. By dividing both numerator and denominator by 3, we get 1/2. Therefore, Han ate 1/2 of the apples from the bag.

Now, let's calculate the fraction Lester ate. Lester ate 2 apples out of a bag of 5 apples, which can be written as 2/5.

Similarly, we simplify this fraction by finding the GCD of 2 and 5. Since 2 and 5 have no common factors other than 1, the fraction 2/5 is already in its simplest form.

Comparing the fractions, Han ate 1/2 of the apples, while Lester ate 2/5 of the apples. To determine who ate a larger part, we need to find a common denominator for both fractions.

The least common denominator (LCD) for 2 and 5 is 10. By converting the fractions to this common denominator, we get: Han ate 5/10 and Lester ate 4/10.

Now we can see that Han ate a larger part of the total apples as 5/10 is greater than 4/10. Therefore, Han ate a larger part of the apples from their respective bags.

In conclusion, by using equivalent fractions, we determined that Han ate a larger part of the total apples from their bags compared to Lester. Han ate 1/2 while Lester ate 2/5.