Question

Write the following decimals as fractions. Reduce the fraction to lowest form.

$\left(a\right)\mathit{}\mathit{0}\mathit{.}\mathit{6}\mathit{}\left(b\right)\mathit{}\mathit{2}\mathit{.}\mathit{5}\mathit{}\left(c\right)\mathit{}\mathit{1}\mathit{.}\mathit{0}\mathit{}\left(d\right)\mathit{}\mathit{3}\mathit{.}\mathit{8}\mathit{}\left(e\right)\mathit{}\mathit{13}\mathit{.}\mathit{7}\mathit{}\left(f\right)\mathit{}\mathit{21}\mathit{.}\mathit{2}\mathit{}\left(g\right)\mathit{}\mathit{6}\mathit{.}\mathit{4}$

Answer 1

Step 1. Write the given decimal as fraction and reduce it to lowest form.

$\begin{array}{rcl}0.6& =& \frac{6}{10}\\ & \Rightarrow & 0.6=\frac{3}{5}\end{array}$

Step 2. Write the given decimal as fraction and reduce it to lowest form.

$\begin{array}{rcl}2.5& =& \frac{25}{10}\\ & \Rightarrow & 2.5=\frac{5}{2}\end{array}$

Step 3. Write the given decimal as fraction and reduce it to lowest form.

$1.0=1$

Step 4. Write the given decimal as fraction and reduce it to lowest form.

$\begin{array}{rcl}3.8& =& \frac{38}{10}\\ & \Rightarrow & 3.8=\frac{19}{5}\end{array}$

Step 5. Write the given decimal as fraction and reduce it to lowest form.

$13.7=\frac{137}{10}$

Step 6. Write the given decimal as fraction and reduce it to lowest form.

$\begin{array}{rcl}21.2& =& \frac{212}{10}\\ & \Rightarrow & 21.2=\frac{106}{5}\end{array}$

Step 7. Write the given decimal as fraction and reduce it to lowest form.

$\begin{array}{rcl}6.4& =& \frac{64}{10}\\ & \Rightarrow & 6.4=\frac{32}{5}\end{array}$