Converting 15.9814 to a Fraction
Step-by-step explanation of how to convert 15.9814 to a fraction

Result

15.9814 =
79907
5000
Mixed number:
15
4907
5000

Step 1: Identify the number of decimal places

The decimal 15.9814 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.9814 × 10000 = 159814

Step 3: Write as a fraction

15.9814 =

159814
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 159814 and 10000.

GCD(159814, 10000) = 2

Divide both the numerator and denominator by the GCD:

159814
10000

=

159814 ÷ 2
10000 ÷ 2

=

79907
5000
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