Converting 11.9475 to a Fraction
Step-by-step explanation of how to convert 11.9475 to a fraction

Result

11.9475 =
4779
400
Mixed number:
11
379
400

Step 1: Identify the number of decimal places

The decimal 11.9475 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.9475 × 10000 = 119475

Step 3: Write as a fraction

11.9475 =

119475
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 119475 and 10000.

GCD(119475, 10000) = 25

Divide both the numerator and denominator by the GCD:

119475
10000

=

119475 ÷ 25
10000 ÷ 25

=

4779
400
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