Converting 30.4 to a Fraction
Step-by-step explanation of how to convert 30.4 to a fraction
Result
30.4 =
152
5
Mixed number:
30
2
5
Step 1: Identify the number of decimal places
The decimal 30.4 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
30.4 × 10 = 304
Step 3: Write as a fraction
30.4 =
304
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 304 and 10.
GCD(304, 10) = 2
Divide both the numerator and denominator by the GCD:
304
10
=
304 ÷ 2
10 ÷ 2
=
152
5
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions