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Exercises Numbers, fractions and percents

Example 4.31 from Prealgebra, 4.2 Multiply and Divide Fractions

Multiply and Divide Fractions: example 4.31

Model: $\frac{1}{4} \div \frac{1}{8} .$

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
We want to determine how many $\frac{1}{8} s$ are in $\frac{1}{4} .$ Start with one $\frac{1}{4}$ tile. Line up $\frac{1}{8}$ tiles underneath the $\frac{1}{4}$ tile.

There are two $\frac{1}{8} s$ in $\frac{1}{4} .$

So, $\frac{1}{4} \div \frac{1}{8} = 2 .$

Your turn

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

Model: $\frac{1}{3} \div \frac{1}{6} .$

How did it go?

PreviousMultiply and Divide Fractions: example 4.30 Next Multiply and Divide Fractions: example 4.32

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.