Question

Convert the decimal into fraction :

$6.35$

Answer 1

Write the given decimal number ( without the decimal point ) as the numerator of the fraction as $635$ .

In the denominator , write $1$ followed by as many number of zeros as the number of decimals places in the given decimal .Write the fraction thus obtained in the lowest form and if required as a mixed fraction .

Since , the given decimal number has two decimal place ,write $100$ as the denominator .

$$\begin{gathered} 6.35 \\ =\frac{635}{100} \\ =\frac{635÷5}{100÷5} \\ =\frac{127}{20} \\ =6\frac{7}{20} \end{gathered}$$.

Thus , the fraction form of the given decimal is $6\frac{7}{20}$ .