Ricardo picked 3 1/2

Question

pints of strawberries and used 4/5
of them to make jam. How many pints of strawberries did he use for the jam? Write the answer as a mixed number in simplest form.(1 point)
Responses

Answer 1

To find out how many pints of strawberries Ricardo used for the jam, we need to calculate \( \frac{4}{5} \) of \( 3 \frac{1}{2} \) pints.

First, convert \( 3 \frac{1}{2} \) to an improper fraction.

1. Convert \( 3 \frac{1}{2} \):

   • \( 3 \) is the whole number part, which is \( 3 \times 2 = 6 \).
   • Add the numerator \( 1 \) to get \( 6 + 1 = 7 \).
   • Therefore, \( 3 \frac{1}{2} = \frac{7}{2} \).

2. Now, we will calculate \( \frac{4}{5} \) of \( \frac{7}{2} \): \[ \frac{4}{5} \times \frac{7}{2} = \frac{4 \times 7}{5 \times 2} = \frac{28}{10} \]

3. Simplify \( \frac{28}{10} \):

   • The greatest common divisor (GCD) of \( 28 \) and \( 10 \) is \( 2 \).
   • Dividing the numerator and denominator by \( 2 \): \[ \frac{28 \div 2}{10 \div 2} = \frac{14}{5} \]

4. Convert \( \frac{14}{5} \) to a mixed number:

   • Divide \( 14 \) by \( 5 \): \( 14 \div 5 = 2 \) (whole number) with a remainder of \( 4 \).
   • Therefore, \( \frac{14}{5} = 2 \frac{4}{5} \).

Thus, Ricardo used \( 2 \frac{4}{5} \) pints of strawberries to make jam.