Converting 11.8675 to a Fraction
Step-by-step explanation of how to convert 11.8675 to a fraction

Result

11.8675 =
4747
400
Mixed number:
11
347
400

Step 1: Identify the number of decimal places

The decimal 11.8675 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.8675 × 10000 = 118675

Step 3: Write as a fraction

11.8675 =

118675
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 118675 and 10000.

GCD(118675, 10000) = 25

Divide both the numerator and denominator by the GCD:

118675
10000

=

118675 ÷ 25
10000 ÷ 25

=

4747
400
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