Question

Convert $0.3654$ into fraction

Answer 1

Converting decimal into fraction

Write down $0.3654$ as divided by 1, i.e. $\frac{0.3654}{1}$

Multiply both numerator and denominator by $10000$ ( as there are $4$digit after the decimal point.)

$\Rightarrow \frac{0.3654\times 10000}{1\times 10000}=\frac{3654}{10000}$

Now, simplifying the fraction

$\frac{3654}{10000}=\frac{3654÷2}{10000÷2}=\frac{1827}{5000}$

Hence, $\frac{1827}{5000}$ is the fraction of decimal $0.3654$.