Converting 72.8 to a Fraction
Step-by-step explanation of how to convert 72.8 to a fraction

Result

72.8 =
364
5
Mixed number:
72
4
5

Step 1: Identify the number of decimal places

The decimal 72.8 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

72.8 × 10 = 728

Step 3: Write as a fraction

72.8 =

728
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 728 and 10.

GCD(728, 10) = 2

Divide both the numerator and denominator by the GCD:

728
10

=

728 ÷ 2
10 ÷ 2

=

364
5
Related Conversions
Other decimal to fraction conversions you might find useful