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Exercises Numbers, fractions and percents

Example 4.36 from Prealgebra, 4.2 Multiply and Divide Fractions

Multiply and Divide Fractions: example 4.36

Divide, and write the answer in simplified form: $\frac{7}{18} \div \frac{14}{27} .$

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

$\frac{7}{18} \div \frac{14}{27}$

Multiply the first fraction by the reciprocal of the second. $\frac{7}{18} \cdot \frac{27}{14}$

Multiply. $\frac{7 \cdot 27}{18 \cdot 14}$

Rewrite showing common factors.

Remove common factors. $\frac{3}{2 \cdot 2}$

Simplify. $\frac{3}{4}$

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: $\frac{7}{27} \div \frac{35}{36} .$

How did it go?

PreviousMultiply and Divide Fractions: example 4.35 Next Multiply and Divide Mixed Numbers and Complex Fractions: example 4.37

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.