Converting 11.85742 to a Fraction
Step-by-step explanation of how to convert 11.85742 to a fraction
Result
11.85742 =
592871
50000
Mixed number:
11
42871
50000
Step 1: Identify the number of decimal places
The decimal 11.85742 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.85742 × 100000 = 1185742
Step 3: Write as a fraction
11.85742 =
1185742
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1185742 and 100000.
GCD(1185742, 100000) = 2
Divide both the numerator and denominator by the GCD:
1185742
100000
=
1185742 ÷ 2
100000 ÷ 2
=
592871
50000
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