Converting 13.05 to a Fraction
Step-by-step explanation of how to convert 13.05 to a fraction

Result

13.05 =
261
20
Mixed number:
13
1
20

Step 1: Identify the number of decimal places

The decimal 13.05 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

13.05 × 100 = 1305

Step 3: Write as a fraction

13.05 =

1305
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1305 and 100.

GCD(1305, 100) = 5

Divide both the numerator and denominator by the GCD:

1305
100

=

1305 ÷ 5
100 ÷ 5

=

261
20
Related Conversions
Other decimal to fraction conversions you might find useful