Converting 0.11872 to a Fraction
Step-by-step explanation of how to convert 0.11872 to a fraction
Result
0.11872 =
371
3125
Step 1: Identify the number of decimal places
The decimal 0.11872 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.11872 × 100000 = 11872
Step 3: Write as a fraction
0.11872 =
11872
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11872 and 100000.
GCD(11872, 100000) = 32
Divide both the numerator and denominator by the GCD:
11872
100000
=
11872 ÷ 32
100000 ÷ 32
=
371
3125
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