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Dividing by a Whole Number

Part of the Decimals, Percents & Ratios section of Coddy's Pre-Algebra journey. Lesson 15 of 53.

To divide a decimal by a whole number, divide as usual and keep the point where it is. In 7.53\frac{7.5}{3}, 3 goes into 7 twice with 1 left over. That 1 is a whole, which is 10 tenths, so together with the 5 tenths there are 15 tenths still to share.

3 goes into 15 tenths 5 times, giving 5 tenths. So 7.53\frac{7.5}{3} is 2.5: the point in the answer sits right above the point in 7.5.

Another way to see it: 7.5 is 75 tenths, and 75 tenths shared by 3 is 25 tenths, which is 2.5. Either way, check by multiplying back: 2.5 · 3 is 7.5.

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Challenge

Work out 8.46\frac{8.4}{6}.

Try it yourself

8.46\frac{8.4}{6}

Simplify

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