Chapter SR2, Problem 1P

Solution

To write the decimal $0.65$ as a fraction.

  $\frac{13}{20}$

Given:

The decimal number, $0.65$ .

Concept Used:

To convert a decimal into equivalent fraction, divide the decimal number by the number that is multiple of 10 as many times as the number of digits after decimal and remove the decimal point. Then, reduce the fraction in simplest form by removing the common factors from numerator and denominator.

Calculation:

In order to write the given decimal number $0.65$ as a fraction, note that there are 2 digits after decimal point, so divide the decimal number by 100 and reduce the fraction in simplest form as shown below

  $\begin{array}{c}0.65=\frac{65}{100}\\ =\frac{13\cdot 5}{20\cdot 5}\\ =\frac{13}{20}\end{array}$

Thus, the number as a fraction is $\frac{13}{20}$ .