Converting 15.725 to a Fraction
Step-by-step explanation of how to convert 15.725 to a fraction

Result

15.725 =
629
40
Mixed number:
15
29
40

Step 1: Identify the number of decimal places

The decimal 15.725 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.725 × 1000 = 15725

Step 3: Write as a fraction

15.725 =

15725
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15725 and 1000.

GCD(15725, 1000) = 25

Divide both the numerator and denominator by the GCD:

15725
1000

=

15725 ÷ 25
1000 ÷ 25

=

629
40
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