Converting 11.5678 to a Fraction
Step-by-step explanation of how to convert 11.5678 to a fraction
Result
11.5678 =
57839
5000
Mixed number:
11
2839
5000
Step 1: Identify the number of decimal places
The decimal 11.5678 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.5678 × 10000 = 115678
Step 3: Write as a fraction
11.5678 =
115678
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 115678 and 10000.
GCD(115678, 10000) = 2
Divide both the numerator and denominator by the GCD:
115678
10000
=
115678 ÷ 2
10000 ÷ 2
=
57839
5000
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