Converting 11.9025 to a Fraction
Step-by-step explanation of how to convert 11.9025 to a fraction

Result

11.9025 =
4761
400
Mixed number:
11
361
400

Step 1: Identify the number of decimal places

The decimal 11.9025 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.9025 × 10000 = 119025

Step 3: Write as a fraction

11.9025 =

119025
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 119025 and 10000.

GCD(119025, 10000) = 25

Divide both the numerator and denominator by the GCD:

119025
10000

=

119025 ÷ 25
10000 ÷ 25

=

4761
400
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