Converting 15.4832 to a Fraction
Step-by-step explanation of how to convert 15.4832 to a fraction

Result

15.4832 =
9677
625
Mixed number:
15
302
625

Step 1: Identify the number of decimal places

The decimal 15.4832 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.4832 × 10000 = 154832

Step 3: Write as a fraction

15.4832 =

154832
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 154832 and 10000.

GCD(154832, 10000) = 16

Divide both the numerator and denominator by the GCD:

154832
10000

=

154832 ÷ 16
10000 ÷ 16

=

9677
625
Related Conversions
Other decimal to fraction conversions you might find useful