Converting 30.72 to a Fraction
Step-by-step explanation of how to convert 30.72 to a fraction

Result

30.72 =
768
25
Mixed number:
30
18
25

Step 1: Identify the number of decimal places

The decimal 30.72 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

30.72 × 100 = 3072

Step 3: Write as a fraction

30.72 =

3072
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3072 and 100.

GCD(3072, 100) = 4

Divide both the numerator and denominator by the GCD:

3072
100

=

3072 ÷ 4
100 ÷ 4

=

768
25
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