Converting 15.8428 to a Fraction
Step-by-step explanation of how to convert 15.8428 to a fraction

Result

15.8428 =
39607
2500
Mixed number:
15
2107
2500

Step 1: Identify the number of decimal places

The decimal 15.8428 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.8428 × 10000 = 158428

Step 3: Write as a fraction

15.8428 =

158428
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 158428 and 10000.

GCD(158428, 10000) = 4

Divide both the numerator and denominator by the GCD:

158428
10000

=

158428 ÷ 4
10000 ÷ 4

=

39607
2500
Related Conversions
Other decimal to fraction conversions you might find useful