  ### Home > CCAA > Chapter 8 Unit 7 > Lesson CC2: 8.3.1 > Problem8-62

8-62.

Simplify each expression.  Homework Help ✎

1. $\frac { 9 } { 15 } \div \frac { 4 } { 3 }$

When you divide by a fraction, you are multiplying by its reciprocal.

$\frac{9}{20}$

1. $- \frac { 19 } { 20 } + \frac { 4 } { 5 }$

Find a common denominator.

$-\frac{3}{20}$

1. $-\frac{8}{9}\div\left(-\frac{2}{5}\right)$

See part (a).

1. $3 \frac { 1 } { 2 } \div 1 \frac { 1 } { 7 }$

Convert these mixed numbers into fractions greater than one.

$\frac{49}{16}$

1. $-\frac{3}{4}-\left(-\frac{11}{16}\right)$

This is the same as $-\frac{3}{4}+\frac{11}{16}$.

$-\frac{1}{16}$

1. $\frac{2}{9}\cdot\frac{14}{15}\cdot\left(-\frac{9}{10}\right)$

$\frac{2}{9}\Big(-\frac{9}{10}\Big)\cdot\frac{14}{15}$

1. $-10\frac{4}{5}+\left(-\frac{3}{8}\right)$

You may add whole numbers and fractions separately.

$(-10)+\left(-\frac{4}{5}+-\frac{3}{8}\right)$

$-11\frac{7}{40}$

1. $\frac{12}{5}\div\left(-\frac{1}{10}\right)$

See part (a).