1Cademy - Writing 0.374 as a Fraction

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Procedure for Converting a Decimal to a Proper Fraction

Example

Writing 0.374 as a Fraction

Convert the decimal $0.374$ to a simplified fraction using the decimal-to-fraction procedure:

Find the place value of the last digit: The digits after the decimal point are $3$ (tenths), $7$ (hundredths), and $4$ (thousandths). The rightmost digit $4$ is in the thousandths place, so the denominator is $1{,}000$ .
Write the fraction: The digits to the right of the decimal point form the whole number $374$ , giving $\frac{374}{1{,}000}$ .
Simplify: Factor the numerator and denominator to find common factors: $\frac{374}{1{,}000} = \frac{2 \cdot 187}{2 \cdot 500}$ . Divide out the common factor of $2$ : $\frac{187}{500}$ .

Therefore, $0.374 = \frac{187}{500}$ . Notice that the number of zeros in the original denominator ( $1{,}000$ has three zeros) matches the number of decimal places in $0.374$ (three decimal places).

Updated 2026-05-02

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