Converting 0.11428 to a Fraction
Step-by-step explanation of how to convert 0.11428 to a fraction
Result
0.11428 =
2857
25000
Step 1: Identify the number of decimal places
The decimal 0.11428 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.11428 × 100000 = 11428
Step 3: Write as a fraction
0.11428 =
11428
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11428 and 100000.
GCD(11428, 100000) = 4
Divide both the numerator and denominator by the GCD:
11428
100000
=
11428 ÷ 4
100000 ÷ 4
=
2857
25000
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