### Home > CC3 > Chapter 6 > Lesson 6.2.3 > Problem6-74

6-74.

Simplify each expression below.  Homework Help ✎

1. $- 2 \frac { 3 } { 10 } - 1 \frac { 2 } { 5 }$

Rewrite each term as a fraction greater than one.

$- \frac{23}{10}-\frac{7}{5}$

Find the common denominator.

$-\frac{23}{10}-\frac{7}{5}\cdot\frac{2}{2}=-\frac{23}{10}-\frac{14}{10}$

Simplify.

$-\frac{37}{10}$

$-3\frac{7}{10}$

1. $3 \div - \frac { 5 } { 4 }$

Rewrite $3$ as a fraction and then multiply by the reciprocal of the second fraction.

$\frac{3}{1}\cdot-\frac{4}{5}$

$-\frac{12}{5}$

1. $\frac { 3 } { 4 } + 5 \frac { 7 } { 8 }$

Rewrite the second fraction as a fraction greater than one, find the common denominator, and then add.

1. $5 \frac { 1 } { 6 } \cdot ( - \frac { 7 } { 9 } )$

Rewrite the first fraction as a fraction greater than one, then multiply numerators together and denominators together.