### Home > MC2 > Chapter 11 > Lesson 11.1.2 > Problem11-24

11-24.

Simplify each expression.

1. $\frac { 3 } { 8 } + ( - \frac { 4 } { 6 } ) - \frac { 1 } { 3 }$

Find a common denominator.

$\frac{9}{24} + (- \frac{16}{24}) - \frac{8}{24}$

$\frac{9 - 16 - 8}{24} = \frac{-15}{24}$

Can this fraction be further reduced?

1. $- \frac { 5 } { 7 } + \frac { 4 } { 9 } - ( - \frac { 2 } { 3 } )$

See part (a).

$\frac{25}{63}$

1. $\frac { 2 } { 5 } \cdot \frac { 3 } { 8 } - \frac { 3 } { 4 }$

Use the order of operations.

$\frac{6}{40} - \frac{3}{4}$

$\frac{6}{40} - \frac{30}{40}$

$\frac{6-30}{40} = \frac{-24}{40} = \frac{-3}{5}$

1. $- \frac { 6 } { 11 } + ( - \frac { 2 } { 3 } ) - \frac { 5 } { 6 }$

See part (a).

1. $- \frac { 2 } { 3 } \cdot 2 \frac { 1 } { 4 } \cdot \frac { 3 } { 4 }$

Convert the mixed number
into a fraction greater than
one before simplifying.

$- \frac{2}{3} ( \frac{9}{4} ) ( \frac{3}{4} )$

$- \frac{54}{48} = - \frac{9}{8}$

1. $\frac { 5 } { 7 } + ( - \frac { 1 } { 3 } ) - ( - \frac { 1 } { 2 } )$

See part (a).