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Exercises Numbers, fractions and percents

Example 5.30 from Prealgebra, 5.3 Decimals and Fractions

Decimals and Fractions: example 5.30

Write $\frac{43}{22}$ as a decimal.

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
Divide $43$ by $22 .$

Notice that the differences of $120$ and $100$ repeat, so there is a repeat in the digits of the quotient; $54$ will repeat endlessly. The first decimal place in the quotient, $9,$ is not part of the pattern. So,

$\frac{43}{22} = 1.9 \overset{—}{54}$

Your turn

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

Write as a decimal: $\frac{27}{11} .$

How did it go?

PreviousDecimals and Fractions: example 5.29 Next Decimals and Fractions: example 5.31

From Prealgebra (1st edition) by OpenStax (Rice University), section 5.3, 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.