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Decimal to Fraction

Part of the Decimals, Percents & Ratios section of Coddy's Pre-Algebra journey. Lesson 19 of 53.

A decimal already is a fraction; you just have to read it aloud. 0.24 is twenty-four hundredths, because its last digit sits in the hundredths place. So 0.240.24 is 24100\frac{24}{100}. The last digit's place names the bottom: tenths give 10, hundredths give 100, thousandths give 1000.

Then simplify, as you did in the fractions section: divide the top and the bottom by their greatest common factor. 24 and 100 share a factor of 4, so 24100\frac{24}{100} becomes 625\frac{6}{25}. 6 and 25 share no factor except 1, so the fraction is in lowest terms.

Why bother simplifying? 625\frac{6}{25} and 24100\frac{24}{100} are the same number, but the lowest form is the one people expect to read, and the board finishes a fraction task only in lowest terms. It is also the easiest to picture: 6 parts out of 25.

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Challenge

Write 0.350.35 as a fraction in lowest terms. First write it over the right power of ten, then simplify on the next line.

Try it yourself

0.350.35

Write it as a fraction in lowest terms

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