### Home > CCA > Chapter 3 > Lesson 3.2.1 > Problem3-37

3-37.

Evaluate the following expressions.

1. $10\frac{7}{9}+(−9\frac{2}{3})$

• Add the integer parts from each term together.

$10+(−9)=1$

Use a Giant One to make the denominators of the fractions the same.

$\frac{7}{9}+\left(-\frac{2}{3}\right)\frac{3}{3}$

Simplify, reduce if possible. Then add the fraction sum to the integer sum.

$\frac{7}{9}+\left(-\frac{6}{9}\right)=\frac{1}{9}$

$1+\frac{1}{9}$

$1\frac{1}{9}$

1. $-10\frac{7}{10}−2\frac{3}{5}$

1. $(4\frac{1}{2})(−3\frac{3}{10})$

• Change each number into a fraction greater than $1$.

$\left(\frac{9}{2}\right)\left(-\frac{33}{10}\right)$

Simplify, reduce if possible, and change answer into a mixed number if needed.

$-\frac{297}{20}=-14\frac{17}{20}$

1. $−8\ \frac{3}{5}\div1\frac{1}{5}$

• Remember to multiply by the reciprocal.