Converting 2.05 to a Fraction
Step-by-step explanation of how to convert 2.05 to a fraction
Result
2.05 =
41
20
Mixed number:
2
1
20
Step 1: Identify the number of decimal places
The decimal 2.05 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
2.05 × 100 = 205
Step 3: Write as a fraction
2.05 =
205
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 205 and 100.
GCD(205, 100) = 5
Divide both the numerator and denominator by the GCD:
205
100
=
205 ÷ 5
100 ÷ 5
=
41
20
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions