Converting 11.8688 to a Fraction
Step-by-step explanation of how to convert 11.8688 to a fraction

Result

11.8688 =
7418
625
Mixed number:
11
543
625

Step 1: Identify the number of decimal places

The decimal 11.8688 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.8688 × 10000 = 118688

Step 3: Write as a fraction

11.8688 =

118688
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 118688 and 10000.

GCD(118688, 10000) = 16

Divide both the numerator and denominator by the GCD:

118688
10000

=

118688 ÷ 16
10000 ÷ 16

=

7418
625
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