Converting 11.74976 to a Fraction
Step-by-step explanation of how to convert 11.74976 to a fraction

Result

11.74976 =
36718
3125
Mixed number:
11
2343
3125

Step 1: Identify the number of decimal places

The decimal 11.74976 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.74976 × 100000 = 1174976

Step 3: Write as a fraction

11.74976 =

1174976
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1174976 and 100000.

GCD(1174976, 100000) = 32

Divide both the numerator and denominator by the GCD:

1174976
100000

=

1174976 ÷ 32
100000 ÷ 32

=

36718
3125
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