### Home > CC1 > Chapter 7 > Lesson 7.2.4 > Problem7-74

7-74.
1. Simplify each of the following expressions by using one of the strategies in the Math Notes box for this lesson. Homework Help ✎

The Math Notes box is shown below for your reference.

Make a complex fraction with the two fractions being divided.

$\frac{\frac{2}{3}}{\frac{3}{5}}$

Multiply by a "Super Giant One" to make the denominator equal to 1.
That is, multiply by a Giant One that uses the reciprocal of the denominator of the complex fraction.

$\frac{\frac{2}{3}}{\frac{3}{5}}\cdot \frac{\frac{5}{3}}{\frac{5}{3}}=\frac{\frac{2}{3}\cdot\frac{5}{3}}{1}=\frac{2}{3}\cdot \frac{5}{3}$

Finish by multiplying and simplifying.

$\frac{2}{3}\cdot\frac{5}{3}=\frac{10}{9}=1\frac{1}{9}$

Follow the steps you used to solve part (a).

10

Write both mixed numbers as fractions greater than one, then write the expression as a complex fraction.