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Question:

Convert 0.62 into a fraction.

A \(\frac{\mathrm{31} }{\mathrm{50}}\)
explanation

Step 1:
We first have to read the fraction correctly according to the decimal place value. The decimal 0.62 is sixty-two hundredths.
Step 2:
We create a fraction from how the decimal is read. The fraction for sixty-two hundredths is 62/100.
Step 3:
Since we do not see 62/100 as an answer choice it means we must simplify our fraction. We then have to divide both the numerator and denominator of 62/100 by the same number until we get to a fraction in its simplest form. Since both numbers are even, we will first divide both the numerator and denominator by 2.
\(\frac{\mathrm{62} }{\mathrm{100}}\) = \(\frac{\mathrm{62\div2} }{\mathrm{100\div2}}\)
= \(\frac{\mathrm{31} }{\mathrm{50}}\)
0.62 is \(\frac{\mathrm{31} }{\mathrm{50}}\) as a fraction in its simplest form.

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