Converting 37.874 to a Fraction
Step-by-step explanation of how to convert 37.874 to a fraction
Result
37.874 =
18937
500
Mixed number:
37
437
500
Step 1: Identify the number of decimal places
The decimal 37.874 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
37.874 × 1000 = 37874
Step 3: Write as a fraction
37.874 =
37874
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 37874 and 1000.
GCD(37874, 1000) = 2
Divide both the numerator and denominator by the GCD:
37874
1000
=
37874 ÷ 2
1000 ÷ 2
=
18937
500
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