Converting 11.77424 to a Fraction
Step-by-step explanation of how to convert 11.77424 to a fraction

Result

11.77424 =
73589
6250
Mixed number:
11
4839
6250

Step 1: Identify the number of decimal places

The decimal 11.77424 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.77424 × 100000 = 1177424

Step 3: Write as a fraction

11.77424 =

1177424
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1177424 and 100000.

GCD(1177424, 100000) = 16

Divide both the numerator and denominator by the GCD:

1177424
100000

=

1177424 ÷ 16
100000 ÷ 16

=

73589
6250
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