### Home > MC2 > Chapter 7 > Lesson 7.2.3 > Problem7-88

7-88.

Simplify each expression below.

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

Simplifying the whole numbers and fractions separately may make this expression easier to solve.

$(2 - 1) + \left( \frac{3}{5} - \frac{2}{5} \right)$

1. $\frac { 9 } { 3 } \cdot \frac { 4 } { 5 }$

Multiply the numerators together and the denominators together.

$\frac{9(4)}{3(5)}$

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

See (a).

1. $\frac { 2 } { 9 } \cdot ( - \frac { 3 } { 7 } ) \cdot ( \frac { 14 } { 5 } )$

See (b).

$-\frac{4}{15}$

1. $- \frac { 9 } { 15 } - ( - \frac { 26 } { 45 } )$

Find a common denominator and simplify.

$-\frac{27}{45} - \left(-\frac{26}{45}\right)$

$-\frac{1}{45}$

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

Converting the mixed number into a fraction greater than one may make this expression easier to solve.

$-3 \frac{4}{9}$