Question

Express the following decimals as rational numbers in the form of $\frac{\mathbf{p}}{\mathbf{q}}$:

$\mathbf{0}\mathbf{.}\mathbf{75}$

Answer 1

$0.75=7$tenths $+5$hundredths$\Rightarrow 0.75=7\times \frac{1}{10}+5\times \frac{1}{100}$

$0.75=\frac{7}{10}+\frac{5}{100}=\frac{70}{100}+\frac{5}{100}=\frac{70+5}{100}=\frac{75}{100}$

Hence, final form is $\frac{75}{100}$