Converting 11.9022 to a Fraction
Step-by-step explanation of how to convert 11.9022 to a fraction

Result

11.9022 =
59511
5000
Mixed number:
11
4511
5000

Step 1: Identify the number of decimal places

The decimal 11.9022 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.9022 × 10000 = 119022

Step 3: Write as a fraction

11.9022 =

119022
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 119022 and 10000.

GCD(119022, 10000) = 2

Divide both the numerator and denominator by the GCD:

119022
10000

=

119022 ÷ 2
10000 ÷ 2

=

59511
5000
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