Converting 3.05 to a Fraction
Step-by-step explanation of how to convert 3.05 to a fraction

Result

3.05 =
61
20
Mixed number:
3
1
20

Step 1: Identify the number of decimal places

The decimal 3.05 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

3.05 × 100 = 305

Step 3: Write as a fraction

3.05 =

305
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 305 and 100.

GCD(305, 100) = 5

Divide both the numerator and denominator by the GCD:

305
100

=

305 ÷ 5
100 ÷ 5

=

61
20
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