Ratios Exercises

Complete this assessment to practice working with ratios and check your answers.

Answers

Ratios          No Calculators!!

1. Write the following ratios as reduced fractions.

a) 10 to 24

\begin{gathered}\dfrac{10}{24} \\\\\dfrac{10 / 2}{24 / 2} \\ \\\dfrac{5}{12}\end{gathered}


b) \dfrac{5}{3} to \dfrac{7}{6}

\begin{aligned} \dfrac{\dfrac{5}{3}}{\dfrac{7}{6}} &=\dfrac{5}{3} \div \dfrac{7}{6} \\ &=\dfrac{5}{\not{3}_{1}} \cdot \dfrac{\not{6}^{2}}{7} \\ &=\dfrac{10}{7} \end{aligned}


c) 0.4 to 1.8

\begin{aligned}&\dfrac{0.4}{1.8} \qquad LCD=10 \\\\&\dfrac{10(0.4)}{10(1.8)} \\ \\&\dfrac{4}{18}=\dfrac{2}{9}\end{aligned}


d) 1.6 to 3.2

\begin{aligned}&\dfrac{1.6}{3.2} \\\\&\dfrac{10(1.6)}{10(3.2)} \\\\&\dfrac{16}{32}=\dfrac{1}{2}\end{aligned}


e) \dfrac{3}{5} to 0.6

\begin{align}\begin{aligned}&\dfrac{\dfrac{3}{5}}{0 \cdot 6} \qquad \qquad LCD=10 \\\\&\dfrac{10 \, (\dfrac{3}{5})}{10 \, (0.6)} \\\\ &\dfrac{6}{6}=1\end{aligned}\end{align}


f) 0.5 to 0.45

\begin{align}\begin{gathered}\dfrac{0.5}{0.45} \qquad \qquad LCD=100 \\\\\dfrac{100(0.5)}{100(0.45)} \\\\\dfrac{50/5}{45 / 5} \\\\\dfrac{10}{9}\end{gathered}\end{align}