Converting 15.2644 to a Fraction
Step-by-step explanation of how to convert 15.2644 to a fraction

Result

15.2644 =
38161
2500
Mixed number:
15
661
2500

Step 1: Identify the number of decimal places

The decimal 15.2644 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.2644 × 10000 = 152644

Step 3: Write as a fraction

15.2644 =

152644
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 152644 and 10000.

GCD(152644, 10000) = 4

Divide both the numerator and denominator by the GCD:

152644
10000

=

152644 ÷ 4
10000 ÷ 4

=

38161
2500
Related Conversions
Other decimal to fraction conversions you might find useful