Converting 15.5416 to a Fraction
Step-by-step explanation of how to convert 15.5416 to a fraction

Result

15.5416 =
19427
1250
Mixed number:
15
677
1250

Step 1: Identify the number of decimal places

The decimal 15.5416 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.5416 × 10000 = 155416

Step 3: Write as a fraction

15.5416 =

155416
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 155416 and 10000.

GCD(155416, 10000) = 8

Divide both the numerator and denominator by the GCD:

155416
10000

=

155416 ÷ 8
10000 ÷ 8

=

19427
1250
Related Conversions
Other decimal to fraction conversions you might find useful