Converting 40.12 to a Fraction
Step-by-step explanation of how to convert 40.12 to a fraction
Result
40.12 =
1003
25
Mixed number:
40
3
25
Step 1: Identify the number of decimal places
The decimal 40.12 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
40.12 × 100 = 4012
Step 3: Write as a fraction
40.12 =
4012
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4012 and 100.
GCD(4012, 100) = 4
Divide both the numerator and denominator by the GCD:
4012
100
=
4012 ÷ 4
100 ÷ 4
=
1003
25
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