Converting 11.5714 to a Fraction
Step-by-step explanation of how to convert 11.5714 to a fraction

Result

11.5714 =
57857
5000
Mixed number:
11
2857
5000

Step 1: Identify the number of decimal places

The decimal 11.5714 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.5714 × 10000 = 115714

Step 3: Write as a fraction

11.5714 =

115714
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 115714 and 10000.

GCD(115714, 10000) = 2

Divide both the numerator and denominator by the GCD:

115714
10000

=

115714 ÷ 2
10000 ÷ 2

=

57857
5000
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