To convert the decimal 0.375 into a fraction, you can follow these steps:
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Start by writing 0.375 as a fraction with 1 in the denominator: 0.375/1.
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Next, eliminate the decimal point by multiplying both the numerator and the denominator by 1000, since there are three digits after the decimal point. This gives us: (0.375 * 1000) / (1 * 1000) = 375/1000.
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Now, simplify the fraction. Both the numerator and the denominator can be divided by their greatest common divisor (GCD), which is 125 in this case: 375 ÷ 125 = 3 and 1000 ÷ 125 = 8.
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Thus, the fraction simplifies to 3/8.
In conclusion, 0.375 can be expressed as the fraction 3/8.