Chapter 7.1, Problem 20PPS

To determine

Calculate $33\frac{1}{3}\%$ into simplest fraction form.

Answer to Problem 20PPS

  $33\frac{1}{3}\%$ in simplest fraction form is $\frac{100}{3}or33.333$

Explanation of Solution

Given:

Percent = $33\frac{1}{3}\%$

Calculations:

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

Thus, $33\frac{1}{3}\%$ can be written into fraction form as,

  $33\frac{1}{3}\%=\frac{100}{3}$

Highest common factor for 100 and 3 is 1.

  $\begin{array}{l}33\frac{1}{3}\%=\frac{100}{3}\\ =\frac{100}{1}\times \frac{1}{3}\\ =\frac{100}{3}\\ =33.333\end{array}$

This is the simplest form. It can’t be reduced further.

Conclusion:

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