Converting 40.712 to a Fraction
Step-by-step explanation of how to convert 40.712 to a fraction
Result
40.712 =
5089
125
Mixed number:
40
89
125
Step 1: Identify the number of decimal places
The decimal 40.712 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
40.712 × 1000 = 40712
Step 3: Write as a fraction
40.712 =
40712
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40712 and 1000.
GCD(40712, 1000) = 8
Divide both the numerator and denominator by the GCD:
40712
1000
=
40712 ÷ 8
1000 ÷ 8
=
5089
125
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