Question

Kati has 2/3 of a bag of frozen fruit. She used 1/4 of the fruit to make smoothies. write an equation to represent the amount of fruit Kati used to make smoothies?

Answer 1

To represent the amount of fruit Kati used to make smoothies, we can set up the following equation:

Let \( F \) be the total amount of frozen fruit Kati has, which is given as \( F = \frac{2}{3} \) of a bag.

Kati used \( \frac{1}{4} \) of the fruit to make smoothies. Therefore, the amount of fruit she used for smoothies can be expressed as:

\[
\text{Amount used for smoothies} = \frac{1}{4} \times F
\]

Substituting for \( F \):

\[
\text{Amount used for smoothies} = \frac{1}{4} \times \frac{2}{3}
\]

This can be simplified as:

\[
\text{Amount used for smoothies} = \frac{2}{12} = \frac{1}{6}
\]

So the equation representing the amount of fruit Kati used for smoothies is:

\[
\text{Amount used} = \frac{1}{4} \times \frac{2}{3} = \frac{1}{6}
\]

This tells us that Kati used \( \frac{1}{6} \) of a bag of frozen fruit to make smoothies.