Q5. - Algebra 1

Question

Express the following percent as a fraction or mixed number in the simplest form.

78%

Step-by-Step Solution

Answer

The simplest form of 78% is $\frac{39}{50}$.

Step 1. Concept of percentage.

Percent of a number is defined as the ratio of the number and 100.

Step 2. Find the percent of given numbers.

$78\%=\frac{78}{100} \left[\mathrm{Bydefinitionofpercent}\right]$

Step 3. Evaluate the expression.

Write Numerator and denominator in factored form and then cancel out the common factor.

$$\begin{gathered} 78\%=\frac{78}{100} \\ =\frac{2·39}{2·50} \left[\mathrm{divideN}\&\mathrm{Dbycommonfactor}2\right] \\ =\frac{\frac{2}{2}·39}{\frac{2}{2}·50} \\ =\frac{1·39}{1·50} \\ =\frac{39}{50} \end{gathered}$$