Converting 0.11824 to a Fraction
Step-by-step explanation of how to convert 0.11824 to a fraction

Result

0.11824 =
739
6250

Step 1: Identify the number of decimal places

The decimal 0.11824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.11824 × 100000 = 11824

Step 3: Write as a fraction

0.11824 =

11824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11824 and 100000.

GCD(11824, 100000) = 16

Divide both the numerator and denominator by the GCD:

11824
100000

=

11824 ÷ 16
100000 ÷ 16

=

739
6250
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