Converting 40.2112 to a Fraction
Step-by-step explanation of how to convert 40.2112 to a fraction
Result
40.2112 =
25132
625
Mixed number:
40
132
625
Step 1: Identify the number of decimal places
The decimal 40.2112 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.2112 × 10000 = 402112
Step 3: Write as a fraction
40.2112 =
402112
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 402112 and 10000.
GCD(402112, 10000) = 16
Divide both the numerator and denominator by the GCD:
402112
10000
=
402112 ÷ 16
10000 ÷ 16
=
25132
625
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