Converting 15.8272 to a Fraction
Step-by-step explanation of how to convert 15.8272 to a fraction

Result

15.8272 =
9892
625
Mixed number:
15
517
625

Step 1: Identify the number of decimal places

The decimal 15.8272 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.8272 × 10000 = 158272

Step 3: Write as a fraction

15.8272 =

158272
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 158272 and 10000.

GCD(158272, 10000) = 16

Divide both the numerator and denominator by the GCD:

158272
10000

=

158272 ÷ 16
10000 ÷ 16

=

9892
625
Related Conversions
Other decimal to fraction conversions you might find useful