Converting 2.2314 to a Fraction
Step-by-step explanation of how to convert 2.2314 to a fraction

Result

2.2314 =
11157
5000
Mixed number:
2
1157
5000

Step 1: Identify the number of decimal places

The decimal 2.2314 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.2314 × 10000 = 22314

Step 3: Write as a fraction

2.2314 =

22314
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 22314 and 10000.

GCD(22314, 10000) = 2

Divide both the numerator and denominator by the GCD:

22314
10000

=

22314 ÷ 2
10000 ÷ 2

=

11157
5000
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