How many 4/3

pint servings are in 28/3
pints of milk?(1 point)
Responses

6 servings
6 servings

9 servings
9 servings

5 servings
5 servings

7 servings

1 answer

To determine how many \( \frac{4}{3} \) pint servings are in \( \frac{28}{3} \) pints of milk, you can divide the total amount of milk by the serving size:

\[ \text{Number of servings} = \frac{\text{Total pints}}{\text{Serving size}} = \frac{\frac{28}{3}}{\frac{4}{3}} \]

When you divide fractions, you multiply by the reciprocal of the second fraction:

\[ \frac{28}{3} \div \frac{4}{3} = \frac{28}{3} \times \frac{3}{4} \]

The \(3\) in the numerator and denominator cancels out:

\[ = \frac{28}{4} = 7 \]

Thus, there are \( 7 \) servings of \( \frac{4}{3} \) pints in \( \frac{28}{3} \) pints of milk.

The answer is 7 servings.