Converting 15.9766 to a Fraction
Step-by-step explanation of how to convert 15.9766 to a fraction

Result

15.9766 =
79883
5000
Mixed number:
15
4883
5000

Step 1: Identify the number of decimal places

The decimal 15.9766 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.9766 × 10000 = 159766

Step 3: Write as a fraction

15.9766 =

159766
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 159766 and 10000.

GCD(159766, 10000) = 2

Divide both the numerator and denominator by the GCD:

159766
10000

=

159766 ÷ 2
10000 ÷ 2

=

79883
5000
Related Conversions
Other decimal to fraction conversions you might find useful