Converting 11.1428 to a Fraction
Step-by-step explanation of how to convert 11.1428 to a fraction

Result

11.1428 =
27857
2500
Mixed number:
11
357
2500

Step 1: Identify the number of decimal places

The decimal 11.1428 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.1428 × 10000 = 111428

Step 3: Write as a fraction

11.1428 =

111428
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 111428 and 10000.

GCD(111428, 10000) = 4

Divide both the numerator and denominator by the GCD:

111428
10000

=

111428 ÷ 4
10000 ÷ 4

=

27857
2500
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