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Exercises Numbers, fractions and percents

Example 6.11 from Prealgebra, 6.1 Understand Percent

Understand Percent: example 6.11

Convert each fraction or mixed number to a percent: ⓐ $\frac{3}{4}$ ⓑ $\frac{11}{8}$ ⓒ $137.5%$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
To convert a fraction to a decimal, divide the numerator by the denominator.

ⓐ

Change to a decimal. $\frac{3}{4}$

Write as a percent by moving the decimal two places.

$75%$

ⓑ

Change to a decimal. $\frac{11}{8}$

Write as a percent by moving the decimal two places.

$137.5%$

ⓒ

Write as an improper fraction. $2 \frac{1}{5}$

Change to a decimal. $\frac{11}{5}$

Write as a percent.

$220%$

Notice that we needed to add zeros at the end of the number when moving the decimal two places to the right.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Convert each fraction or mixed number to a percent: ⓐ $\frac{5}{8}$ ⓑ $\frac{11}{4}$ ⓒ $3 \frac{2}{5}$

How did it go?

PreviousUnderstand Percent: example 6.10 Next Understand Percent: example 6.12

From Prealgebra (1st edition) by OpenStax (Rice University), section 6.1, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.