Converting 27.2 to a Fraction
Step-by-step explanation of how to convert 27.2 to a fraction
Result
27.2 =
136
5
Mixed number:
27
1
5
Step 1: Identify the number of decimal places
The decimal 27.2 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
27.2 × 10 = 272
Step 3: Write as a fraction
27.2 =
272
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 272 and 10.
GCD(272, 10) = 2
Divide both the numerator and denominator by the GCD:
272
10
=
272 ÷ 2
10 ÷ 2
=
136
5
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions