Converting 15.72 to a Fraction
Step-by-step explanation of how to convert 15.72 to a fraction

Result

15.72 =
393
25
Mixed number:
15
18
25

Step 1: Identify the number of decimal places

The decimal 15.72 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

15.72 × 100 = 1572

Step 3: Write as a fraction

15.72 =

1572
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1572 and 100.

GCD(1572, 100) = 4

Divide both the numerator and denominator by the GCD:

1572
100

=

1572 ÷ 4
100 ÷ 4

=

393
25
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