Converting 23.2314 to a Fraction
Step-by-step explanation of how to convert 23.2314 to a fraction

Result

23.2314 =
116157
5000
Mixed number:
23
1157
5000

Step 1: Identify the number of decimal places

The decimal 23.2314 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

23.2314 × 10000 = 232314

Step 3: Write as a fraction

23.2314 =

232314
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 232314 and 10000.

GCD(232314, 10000) = 2

Divide both the numerator and denominator by the GCD:

232314
10000

=

232314 ÷ 2
10000 ÷ 2

=

116157
5000
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