### Home > GB8I > Chapter 1 Unit 1 > Lesson INT1: 1.1.2 > Problem1-17

1-17.

Simplify each expression.

1. $\frac { 2 } { 9 } + ( - \frac { 1 } { 2 } )$

Find a common denominator for both fractions. Remember that adding a negative is the same as subtracting.

${-\frac{5}{18}}$

2. $- \frac { 6 } { 7 } - \frac { 3 } { 5 }$

Refer to part (a). Notice that this time you are adding two negatives.

${{-1\frac{16}{35}}}$

3. $\frac { 9 } { 10 } ( - \frac { 2 } { 3 } )$

Multiply the numerators then multiply the denominators.

${\frac{\left(9\cdot -2\right)}{10\cdot 3}}$

${-\frac{18}{30} = -\frac{3}{5}}$

4. $\frac { 1 } { 4 } \div \frac { 2 } { 7 }$

Take the reciprocal of 2/7 and multiply. Refer to part (c).

${\frac{1}{4}\: \cdot \: \frac{7}{2}}$

${{\frac{7}{8}}}$