Converting 30.25 to a Fraction
Step-by-step explanation of how to convert 30.25 to a fraction

Result

30.25 =
121
4
Mixed number:
30
1
4

Step 1: Identify the number of decimal places

The decimal 30.25 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

30.25 × 100 = 3025

Step 3: Write as a fraction

30.25 =

3025
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3025 and 100.

GCD(3025, 100) = 25

Divide both the numerator and denominator by the GCD:

3025
100

=

3025 ÷ 25
100 ÷ 25

=

121
4
Related Conversions
Other decimal to fraction conversions you might find useful