Converting 37.724 to a Fraction
Step-by-step explanation of how to convert 37.724 to a fraction
Result
37.724 =
9431
250
Mixed number:
37
181
250
Step 1: Identify the number of decimal places
The decimal 37.724 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
37.724 × 1000 = 37724
Step 3: Write as a fraction
37.724 =
37724
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 37724 and 1000.
GCD(37724, 1000) = 4
Divide both the numerator and denominator by the GCD:
37724
1000
=
37724 ÷ 4
1000 ÷ 4
=
9431
250
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