Converting 11.645872 to a Fraction
Step-by-step explanation of how to convert 11.645872 to a fraction

Result

11.645872 =
727867
62500
Mixed number:
11
40367
62500

Step 1: Identify the number of decimal places

The decimal 11.645872 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

11.645872 × 1000000 = 11645872

Step 3: Write as a fraction

11.645872 =

11645872
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11645872 and 1000000.

GCD(11645872, 1000000) = 16

Divide both the numerator and denominator by the GCD:

11645872
1000000

=

11645872 ÷ 16
1000000 ÷ 16

=

727867
62500
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