Converting 36.724 to a Fraction
Step-by-step explanation of how to convert 36.724 to a fraction
Result
36.724 =
9181
250
Mixed number:
36
181
250
Step 1: Identify the number of decimal places
The decimal 36.724 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
36.724 × 1000 = 36724
Step 3: Write as a fraction
36.724 =
36724
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 36724 and 1000.
GCD(36724, 1000) = 4
Divide both the numerator and denominator by the GCD:
36724
1000
=
36724 ÷ 4
1000 ÷ 4
=
9181
250
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