Converting 15.4748 to a Fraction
Step-by-step explanation of how to convert 15.4748 to a fraction

Result

15.4748 =
38687
2500
Mixed number:
15
1187
2500

Step 1: Identify the number of decimal places

The decimal 15.4748 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.4748 × 10000 = 154748

Step 3: Write as a fraction

15.4748 =

154748
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 154748 and 10000.

GCD(154748, 10000) = 4

Divide both the numerator and denominator by the GCD:

154748
10000

=

154748 ÷ 4
10000 ÷ 4

=

38687
2500
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