To convert the decimal 0.375 into a fraction, follow these steps:
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Recognize the decimal place: The number 0.375 has three digits after the decimal point, indicating its place in relation to whole numbers. We can rewrite it as:
0.375 = 375/1000
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Simplify the fraction: Next, we need to simplify the fraction. This involves finding the greatest common divisor (GCD) of the numerator (375) and the denominator (1000).
The GCD of 375 and 1000 is 125. Now, divide both the numerator and the denominator by their GCD:
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375 ÷ 125 = 3
1000 ÷ 125 = 8
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This gives us:
0.375 = 3/8
In conclusion, the decimal 0.375 can be expressed as the simplified fraction 3/8.