Converting 15.9628 to a Fraction
Step-by-step explanation of how to convert 15.9628 to a fraction

Result

15.9628 =
39907
2500
Mixed number:
15
2407
2500

Step 1: Identify the number of decimal places

The decimal 15.9628 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.9628 × 10000 = 159628

Step 3: Write as a fraction

15.9628 =

159628
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 159628 and 10000.

GCD(159628, 10000) = 4

Divide both the numerator and denominator by the GCD:

159628
10000

=

159628 ÷ 4
10000 ÷ 4

=

39907
2500
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