Converting 2.2112 to a Fraction
Step-by-step explanation of how to convert 2.2112 to a fraction

Result

2.2112 =
1382
625
Mixed number:
2
132
625

Step 1: Identify the number of decimal places

The decimal 2.2112 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.2112 × 10000 = 22112

Step 3: Write as a fraction

2.2112 =

22112
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 22112 and 10000.

GCD(22112, 10000) = 16

Divide both the numerator and denominator by the GCD:

22112
10000

=

22112 ÷ 16
10000 ÷ 16

=

1382
625
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