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Exercises Numbers, fractions and percents

Example 4.19 from Prealgebra, 4.2 Multiply and Divide Fractions

Multiply and Divide Fractions: example 4.19

Simplify: $\frac{10}{15} .$

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 simplify the fraction, we look for any common factors in the numerator and the denominator.

Notice that 5 is a factor of both 10 and 15. $\frac{10}{15}$

Factor the numerator and denominator.

Remove the common factors.

Simplify. $\frac{2}{3}$

Your turn

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

Simplify: $\frac{8}{12}$ .

How did it go?

PreviousVisualize Fractions: example 4.18 Next Multiply and Divide Fractions: example 4.20

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.