Converting 11.87156 to a Fraction
Step-by-step explanation of how to convert 11.87156 to a fraction
Result
11.87156 =
296789
25000
Mixed number:
11
21789
25000
Step 1: Identify the number of decimal places
The decimal 11.87156 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.87156 × 100000 = 1187156
Step 3: Write as a fraction
11.87156 =
1187156
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1187156 and 100000.
GCD(1187156, 100000) = 4
Divide both the numerator and denominator by the GCD:
1187156
100000
=
1187156 ÷ 4
100000 ÷ 4
=
296789
25000
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