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Exercises Numbers, fractions and percents

Example 6.5 from Prealgebra, 6.1 Understand Percent

Understand Percent: example 6.5

Convert each percent to a decimal:

ⓐ $6%$
ⓑ $78%$

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
Because we want to change to a decimal, we will leave the fractions with denominator $100$ instead of removing common factors.

ⓐ

$6%$

Write as a ratio with denominator 100. $\frac{6}{100}$

Change the fraction to a decimal by dividing the numerator by the denominator. $0.06$

ⓑ

$78%$

Write as a ratio with denominator 100. $\frac{78}{100}$

Change the fraction to a decimal by dividing the numerator by the denominator. $0.78$

Your turn

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

Convert each percent to a decimal:

ⓐ $9%$
ⓑ $87%$

How did it go?

PreviousUnderstand Percent: example 6.4 Next Understand Percent: example 6.6

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.