Converting 40.872 to a Fraction
Step-by-step explanation of how to convert 40.872 to a fraction
Result
40.872 =
5109
125
Mixed number:
40
109
125
Step 1: Identify the number of decimal places
The decimal 40.872 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
40.872 × 1000 = 40872
Step 3: Write as a fraction
40.872 =
40872
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40872 and 1000.
GCD(40872, 1000) = 8
Divide both the numerator and denominator by the GCD:
40872
1000
=
40872 ÷ 8
1000 ÷ 8
=
5109
125
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