Converting 0.11408 to a Fraction
Step-by-step explanation of how to convert 0.11408 to a fraction
Result
0.11408 =
713
6250
Step 1: Identify the number of decimal places
The decimal 0.11408 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.11408 × 100000 = 11408
Step 3: Write as a fraction
0.11408 =
11408
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11408 and 100000.
GCD(11408, 100000) = 16
Divide both the numerator and denominator by the GCD:
11408
100000
=
11408 ÷ 16
100000 ÷ 16
=
713
6250
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