### Home > MC2 > Chapter 2 > Lesson 2.3.1 > Problem2-97

2-97.

Zac is making cookies, but he does not have enough flour to make a full recipe. The full recipe calls for $\frac { 2 } { 3 }$ cup of brown sugar.

If Zac is making $\frac { 3 } { 5 }$ of the full recipe, how much brown sugar should he use?

1. Represent the $\frac { 2 } { 3 }$ cup of brown sugar with a diagram.

2. Represent the portion of brown sugar that Zac needs if he makes only $\frac { 3 } { 5 }$ of the recipe.

3. What math operation should Zac use to find the amount of brown sugar he needs? Write an expression and find a solution.

First draw a rectangle to represent a full cup of brown sugar. Now try to solve the problem with this information.

$\frac{2}{3}$ is the same thing as $2$ one-thirds.

How can you subdivide your shaded diagram from part (a) into fifths (5 equal parts)?

Which part of the sugar is 3 of the fifths?

One way this can be represented is...

Label the portion of brown sugar Zac needs.

What fraction of a cup will Zac use? What operation with $\frac{2}{3}$ and $\frac{3}{5}$ will get that answer?