Converting 11.2724 to a Fraction
Step-by-step explanation of how to convert 11.2724 to a fraction

Result

11.2724 =
28181
2500
Mixed number:
11
681
2500

Step 1: Identify the number of decimal places

The decimal 11.2724 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.2724 × 10000 = 112724

Step 3: Write as a fraction

11.2724 =

112724
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 112724 and 10000.

GCD(112724, 10000) = 4

Divide both the numerator and denominator by the GCD:

112724
10000

=

112724 ÷ 4
10000 ÷ 4

=

28181
2500
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