Converting 15.9314 to a Fraction
Step-by-step explanation of how to convert 15.9314 to a fraction

Result

15.9314 =
79657
5000
Mixed number:
15
4657
5000

Step 1: Identify the number of decimal places

The decimal 15.9314 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.9314 × 10000 = 159314

Step 3: Write as a fraction

15.9314 =

159314
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 159314 and 10000.

GCD(159314, 10000) = 2

Divide both the numerator and denominator by the GCD:

159314
10000

=

159314 ÷ 2
10000 ÷ 2

=

79657
5000
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