Converting 15.2048 to a Fraction
Step-by-step explanation of how to convert 15.2048 to a fraction

Result

15.2048 =
9503
625
Mixed number:
15
128
625

Step 1: Identify the number of decimal places

The decimal 15.2048 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.2048 × 10000 = 152048

Step 3: Write as a fraction

15.2048 =

152048
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 152048 and 10000.

GCD(152048, 10000) = 16

Divide both the numerator and denominator by the GCD:

152048
10000

=

152048 ÷ 16
10000 ÷ 16

=

9503
625
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