Converting 78.72 to a Fraction
Step-by-step explanation of how to convert 78.72 to a fraction

Result

78.72 =
1968
25
Mixed number:
78
18
25

Step 1: Identify the number of decimal places

The decimal 78.72 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

78.72 × 100 = 7872

Step 3: Write as a fraction

78.72 =

7872
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7872 and 100.

GCD(7872, 100) = 4

Divide both the numerator and denominator by the GCD:

7872
100

=

7872 ÷ 4
100 ÷ 4

=

1968
25
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