Chapter 7.1, Problem 13PPS

To determine

Calculate $20\frac{2}{3}\%$ into simplest fraction form.

Answer to Problem 13PPS

  $20\frac{2}{3}\%$ in simplest fraction form is $\frac{62}{3}$

Explanation of Solution

Given:

Percent = $20\frac{2}{3}\%$

Calculations:

Fraction form is reduced to a simplest form by dividing numerator and denominator with highest common factor.

Thus, $20\frac{2}{3}\%$ can be written into fraction form as,

  $20\frac{2}{3}\%=\frac{62}{3}$

Highest common factor for 62 and 3 is 1.

  $\begin{array}{l}22\frac{2}{3}\%=\frac{62}{3}\\ =\frac{62}{1}\times \frac{1}{3}\\ =\frac{62}{3}\end{array}$

Conclusion:

Therefore, we are able to calculate percentage as a fraction using highest common factor.