Converting 15.7282 to a Fraction
Step-by-step explanation of how to convert 15.7282 to a fraction

Result

15.7282 =
78641
5000
Mixed number:
15
3641
5000

Step 1: Identify the number of decimal places

The decimal 15.7282 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.7282 × 10000 = 157282

Step 3: Write as a fraction

15.7282 =

157282
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 157282 and 10000.

GCD(157282, 10000) = 2

Divide both the numerator and denominator by the GCD:

157282
10000

=

157282 ÷ 2
10000 ÷ 2

=

78641
5000
Related Conversions
Other decimal to fraction conversions you might find useful