Converting 0.11775 to a Fraction
Step-by-step explanation of how to convert 0.11775 to a fraction
Result
0.11775 =
471
4000
Step 1: Identify the number of decimal places
The decimal 0.11775 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.11775 × 100000 = 11775
Step 3: Write as a fraction
0.11775 =
11775
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11775 and 100000.
GCD(11775, 100000) = 25
Divide both the numerator and denominator by the GCD:
11775
100000
=
11775 ÷ 25
100000 ÷ 25
=
471
4000
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