Chapter 18, Problem 1A

Use a decimal equivalents table to find the decimal equivalent of $\frac{21}{64}$ .

To determine

Evaluation of the decimal equivalent of given fractional number.

Answer to Problem 1A

The decimal equivalent of given fractional number is $0.328125$.

Explanation of Solution

Given:

The given fractional number is $\frac{21}{64}$.

Concept used:

The decimal equivalent of the given fractional value can be evaluated by dividing the numerator by the denominator.

Calculation:

The numerator is $21$ and the denominator is $64.$

Below shown is the required calculation:

  $64\begin{array}{c}\hfill 0.328125\\ \hfill \overline{)\begin{array}{l}210\\ \underset{\_}{192}\\ 180\\ \underset{\_}{128}\\ 520\\ \underset{\_}{512}\\ 80\\ \underset{\_}{64}\\ 160\\ \underset{\_}{128}\\ 320\\ \underset{\_}{320}\\ \underset{\_}{000}\end{array}}\end{array}$

Conclusion:

The decimal equivalent of given fractional number is $0.328125$.