Ratios Exercises
| Site: | Saylor Academy |
| Course: | RWM101: Foundations of Real World Math copy 1 |
| Book: | Ratios Exercises |
| Printed by: | Guest user |
| Date: | Tuesday, May 13, 2025, 11:14 PM |
Description
buttons.Ratios
Now it's your turn to write ratios as reduced fractions. Remember, it's the same process we use to reduce fractions. Complete this assessment to practice working with ratios and check your answers.
1. Write the following ratios as reduced fractions.
a) \(10\) to \(24\)
b) \(\dfrac{5}{3}\) to \(\dfrac{7}{6}\)
c) \(0.4\) to \(1.8\)
d) \(1.6\) to \(3.2\)
e) \(\dfrac{3}{5}\) to \(0.6\)
f) \(0.5\) to \(0.45\)
Source: Algebra2Go, https://www.saddleback.edu/faculty/Lperez/Algebra2Go/prealgebra/ratios/ratiosHW.pdf
This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 License.
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 \(0.45\)
\(\begin{align}
\begin{gathered}
\dfrac{0.5}{0.45} \qquad \qquad LCD=100 \\
\\
\dfrac{100(0.5)}{100(0.45)} \\
\\
\dfrac{50/5}{45 / 5} \\
\\
\dfrac{10}{9}
\end{gathered}
\end{align}\)