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Exercises Numbers, fractions and percents

Example 4.33 from Prealgebra, 4.2 Multiply and Divide Fractions

Multiply and Divide Fractions: example 4.33

Divide, and write the answer in simplified form: $\frac{2}{5} \div (- \frac{3}{7}) .$

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

$\frac{2}{5} \div (- \frac{3}{7})$

Multiply the first fraction by the reciprocal of the second. $\frac{2}{5} (- \frac{7}{3})$

Multiply. The product is negative. $- \frac{14}{15}$

Your turn

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

Divide, and write the answer in simplified form: $\frac{3}{7} \div (- \frac{2}{3}) .$

How did it go?

PreviousMultiply and Divide Fractions: example 4.32 Next Multiply and Divide Fractions: example 4.34

From Prealgebra (1st edition) by OpenStax (Rice University), section 4.2, 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.