Question

Write as fractions in lowest terms. (a) $0.60$ (b) $0.05$ (c) $0.75$ (d) $0.18$ (e) $0.25$ (f) $0.125$ (g) $0.066$

Answer 1

The fraction in the lowest terms :

(a) Write $0.60$ in the lowest terms as a fraction:

$\begin{array}{rcl}0.60& =& \frac{60}{100}\\ & \Rightarrow & 0.60=\frac{3}{5}\end{array}$

(b)Write $0.05$ in the lowest terms as a fraction:

$\begin{array}{rcl}0.05& =& \frac{5}{100}\\ & \Rightarrow & 0.05=\frac{1}{20}\end{array}$

(c)Write $0.75$ in the lowest terms as a fraction:

$\begin{array}{rcl}0.75& =& \frac{75}{100}\\ & \Rightarrow & 0.75=\frac{3}{4}\end{array}$

(d)Write $0.18$ in the lowest terms as a fraction:

$\begin{array}{rcl}0.18& =& \frac{18}{100}\\ & \Rightarrow & 0.18=\frac{9}{50}\end{array}$

(e)Write $0.25$ in the lowest terms as a fraction:

$\begin{array}{rcl}0.25& =& \frac{25}{100}\\ & \Rightarrow & 0.25=\frac{1}{4}\end{array}$

(f)Write $0.125$ in the lowest terms as a fraction:

$\begin{array}{rcl}0.125& =& \frac{125}{100}\\ & \Rightarrow & 0.125=\frac{1}{4}\end{array}$

(g)Write $0.066$ in the lowest terms as a fraction:

$\begin{array}{rcl}0.066& =& \frac{66}{100}\\ & \Rightarrow & 0.066=\frac{33}{50}\end{array}$

Hence, decimal numbers as fractions in the lowest terms are as follows:

$$\begin{gathered} \left(a\right)0.60=\frac{3}{5} \\ \left(b\right)0.05=\frac{1}{20} \\ \left(c\right)0.75=\frac{3}{4} \\ \left(d\right)0.18=\frac{9}{50} \\ \left(e\right)0.25=\frac{1}{4} \\ \left(f\right)0.125=\frac{1}{4} \\ \left(g\right)0.066=\frac{33}{50} \end{gathered}$$