### Home > CCAA8 > Chapter 3 Unit 4 > Lesson CCA: 3.3.2 > Problem3-95

3-95.

Evaluate the following rational expressions.

1. $-3\frac{2}{9}+\ 8\frac{7}{9}$

• Add the integer values together. Then, if necessary, use a giant 1 to make the denominators of the fractions the same.

$−3+8=5$

Add the fractions together, reduce if possible, and change the sum into a mixed number if necessary. Then add the integer sum and the fraction sum together.

$-\frac{2}{9}+\frac{7}{9}=\frac{5}{9}$

$5+\frac{5}{9}=5\frac{5}{9}$

1. $-7\frac{2}{7}-4\frac{1}{5}$

• Follow the steps for part (a). Remember, subtracting any number is like adding its opposite.

$-11\frac{17}{35}$

1. $1\frac{5}{7}\ \cdot3\frac{6}{7}$

• Convert the mixed numbers into fractions greater than $1$. Then simplify. Reduce if possible and convert the product into a mixed number if necessary.

1. $-8\frac{1}{7}\div5\frac{5}{9}$

• Follow the steps for part (c). Remember, dividing by a fraction is like multiplying by its reciprocal.

$1\frac{163}{350}$