Converting 39.724 to a Fraction
Step-by-step explanation of how to convert 39.724 to a fraction
Result
39.724 =
9931
250
Mixed number:
39
181
250
Step 1: Identify the number of decimal places
The decimal 39.724 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
39.724 × 1000 = 39724
Step 3: Write as a fraction
39.724 =
39724
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 39724 and 1000.
GCD(39724, 1000) = 4
Divide both the numerator and denominator by the GCD:
39724
1000
=
39724 ÷ 4
1000 ÷ 4
=
9931
250
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