Converting 15.2608 to a Fraction
Step-by-step explanation of how to convert 15.2608 to a fraction

Result

15.2608 =
9538
625
Mixed number:
15
163
625

Step 1: Identify the number of decimal places

The decimal 15.2608 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.2608 × 10000 = 152608

Step 3: Write as a fraction

15.2608 =

152608
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 152608 and 10000.

GCD(152608, 10000) = 16

Divide both the numerator and denominator by the GCD:

152608
10000

=

152608 ÷ 16
10000 ÷ 16

=

9538
625
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