### Home > CCA > Chapter 1 > Lesson 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

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

Refer to part (a). Just remember that you are adding two negatives.

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

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

Multiply the numerators.

$(9)(−2)=−18$

Multiply the denominators.

$(10)(3)=30$

These two answers are the new numerator and denominator.

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

1.  $\frac{1}{4}\div\frac{2}{7}$

Flip the second term and multiply. Refer to part (c).

$\frac{1}{4}\times \frac{7}{2}$

$\frac{7}{8}$