Converting 27.65 to a Fraction
Step-by-step explanation of how to convert 27.65 to a fraction
Result
27.65 =
553
20
Mixed number:
27
13
20
Step 1: Identify the number of decimal places
The decimal 27.65 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
27.65 × 100 = 2765
Step 3: Write as a fraction
27.65 =
2765
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2765 and 100.
GCD(2765, 100) = 5
Divide both the numerator and denominator by the GCD:
2765
100
=
2765 ÷ 5
100 ÷ 5
=
553
20
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions