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Exercises Numbers, fractions and percents

Example 5.35 from Prealgebra, 5.3 Decimals and Fractions

Decimals and Fractions: example 5.35

Simplify the expressions:

ⓐ $7 (18.3 - 21.7)$
ⓑ $\frac{2}{3} (8.3 - 3.8)$

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

ⓐ

$7 (18.3 - 21.7)$

Simplify inside parentheses. $7 (−3.4)$

Multiply. $−23.8$

ⓑ

$\frac{2}{3} (8.3 - 3.8)$

Simplify inside parentheses. $\frac{2}{3} (4.5)$

Write $4.5$ as a fraction. $\frac{2}{3} (\frac{4.5}{1})$

Multiply. $\frac{9}{3}$

Simplify. $3$

Your turn

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

Simplify: ⓐ $8 (14.6 - 37.5)$ ⓑ $\frac{3}{5} (9.6 - 2.1) .$

How did it go?

PreviousDecimals and Fractions: example 5.34 Next Decimals and Fractions: example 5.36

From Prealgebra (1st edition) by OpenStax (Rice University), section 5.3, 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.