Practice Test

Convert the improper fraction to a mixed number.

672.

$\frac{19}{5}$

Convert the mixed number to an improper fraction.

673.

$3 \frac{2}{7}$

Locate the numbers on a number line.

674.

$\frac{1}{2}, 1 \frac{2}{3}, −2 \frac{3}{4},$ and $\frac{9}{4}$

In the following exercises, simplify.

675.

$\frac{5}{20}$

676.

$\frac{18 r}{27 s}$

677.

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

678.

$\frac{3}{5} \cdot 15$

679.

$−36 u (- \frac{4}{9})$

680.

$−5 \frac{7}{12} \cdot 4 \frac{4}{11}$

681.

$- \frac{5}{6} \div \frac{5}{12}$

682.

$\frac{7}{11} \div (- \frac{7}{11})$

683.

$\frac{9 a}{10} \div \frac{15 a}{8}$

684.

$−6 \frac{2}{5} \div 4$

685.

$(−15 \frac{5}{6}) \div (−3 \frac{1}{6})$

686.

$\frac{−6}{\frac{6}{11}}$

687.

$\frac{\frac{p}{2}}{\frac{q}{5}}$

688.

$\frac{- \frac{4}{15}}{−2 \frac{2}{3}}$

689.

$\frac{9^{2} - 4^{2}}{9 - 4}$

690.

$\frac{2}{d} + \frac{9}{d}$

691.

$- \frac{3}{13} + (- \frac{4}{13})$

692.

$- \frac{22}{25} + \frac{9}{40}$

693.

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

694.

$- \frac{3}{10} + (- \frac{5}{8})$

695.

$- \frac{3}{4} \div \frac{x}{3}$

696.

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

697.

$\frac{\frac{5}{14} + \frac{1}{8}}{\frac{9}{56}}$

Evaluate.

698.

$x + \frac{1}{3}$ when

ⓐ $x = \frac{2}{3}$
ⓑ $x = - \frac{5}{6}$

In the following exercises, solve the equation.

699.

$y + \frac{3}{5} = \frac{7}{5}$

700.

$a - \frac{3}{10} = - \frac{9}{10}$

701.

$f + (- \frac{2}{3}) = \frac{5}{12}$

702.

$\frac{m}{−2} = −16$

703.

$- \frac{2}{3} c = 18$

704.

Translate and solve: The quotient of $p$ and $−4$ is $−8 .$ Solve for $p .$