Converting 30.7272 to a Fraction
Step-by-step explanation of how to convert 30.7272 to a fraction

Result

30.7272 =
38409
1250
Mixed number:
30
909
1250

Step 1: Identify the number of decimal places

The decimal 30.7272 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.7272 × 10000 = 307272

Step 3: Write as a fraction

30.7272 =

307272
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 307272 and 10000.

GCD(307272, 10000) = 8

Divide both the numerator and denominator by the GCD:

307272
10000

=

307272 ÷ 8
10000 ÷ 8

=

38409
1250
Related Conversions
Other decimal to fraction conversions you might find useful