Converting 11.9424 to a Fraction
Step-by-step explanation of how to convert 11.9424 to a fraction

Result

11.9424 =
7464
625
Mixed number:
11
589
625

Step 1: Identify the number of decimal places

The decimal 11.9424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.9424 × 10000 = 119424

Step 3: Write as a fraction

11.9424 =

119424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 119424 and 10000.

GCD(119424, 10000) = 16

Divide both the numerator and denominator by the GCD:

119424
10000

=

119424 ÷ 16
10000 ÷ 16

=

7464
625
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