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Exercises Numbers, fractions and percents

Example 4.7 from Prealgebra, 4.1 Visualize Fractions

Visualize Fractions: example 4.7

Use a model to rewrite the improper fraction $\frac{11}{6}$ as a mixed number.

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 start with $\frac{9}{7} .$ sixths $(\frac{11}{6}) .$ We know that six sixths makes one whole.

$\frac{6}{6} = 1$

That leaves us with five more sixths, which is $\frac{5}{6} (11 sixths minus 6 sixths is 5 sixths) .$

So, $\frac{11}{6} = 1 \frac{5}{6} .$

Your turn

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

Use a model to rewrite the improper fraction as a mixed number: $\frac{9}{7} .$

How did it go?

PreviousVisualize Fractions: example 4.6 Next Visualize Fractions: example 4.8

From Prealgebra (1st edition) by OpenStax (Rice University), section 4.1, 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.