Converting 11.1224 to a Fraction
Step-by-step explanation of how to convert 11.1224 to a fraction

Result

11.1224 =
13903
1250
Mixed number:
11
153
1250

Step 1: Identify the number of decimal places

The decimal 11.1224 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.1224 × 10000 = 111224

Step 3: Write as a fraction

11.1224 =

111224
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 111224 and 10000.

GCD(111224, 10000) = 8

Divide both the numerator and denominator by the GCD:

111224
10000

=

111224 ÷ 8
10000 ÷ 8

=

13903
1250
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