Converting 27.75 to a Fraction
Step-by-step explanation of how to convert 27.75 to a fraction
Result
27.75 =
111
4
Mixed number:
27
3
4
Step 1: Identify the number of decimal places
The decimal 27.75 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
27.75 × 100 = 2775
Step 3: Write as a fraction
27.75 =
2775
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2775 and 100.
GCD(2775, 100) = 25
Divide both the numerator and denominator by the GCD:
2775
100
=
2775 ÷ 25
100 ÷ 25
=
111
4
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions