Converting 15.6196 to a Fraction
Step-by-step explanation of how to convert 15.6196 to a fraction

Result

15.6196 =
39049
2500
Mixed number:
15
1549
2500

Step 1: Identify the number of decimal places

The decimal 15.6196 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.6196 × 10000 = 156196

Step 3: Write as a fraction

15.6196 =

156196
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 156196 and 10000.

GCD(156196, 10000) = 4

Divide both the numerator and denominator by the GCD:

156196
10000

=

156196 ÷ 4
10000 ÷ 4

=

39049
2500
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