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QuestionMathematics

Convert 0.625 to a fraction in simplest form.
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Step 1:
: To convert a decimal to a fraction, we want to find the numerator and denominator such that the decimal is equivalent to the fraction.

In this case, the decimal is 0.625.

Step 2:
: Write down the decimal as a fraction over 1, i.e., 0.625 = 0.625 / 1.

Step 3:
: Multiply both the numerator and the denominator by 1000 (since there are three decimal places in 0.625) to get rid of the decimal point:

\frac{0.625 \times 1000}{1 \times 1000} = \frac{625}{1000}

Step 4:
: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 125:

\frac{625}{1000} = \frac{625 \div 125}{1000 \div 125} = \frac{5}{8}

Final Answer

0.625 as a fraction in simplest form is 5 / 8.