Converting 0.3065 to a Fraction
Step-by-step explanation of how to convert 0.3065 to a fraction

Result

0.3065 =
613
2000

Step 1: Identify the number of decimal places

The decimal 0.3065 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3065 × 10000 = 3065

Step 3: Write as a fraction

0.3065 =

3065
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3065 and 10000.

GCD(3065, 10000) = 5

Divide both the numerator and denominator by the GCD:

3065
10000

=

3065 ÷ 5
10000 ÷ 5

=

613
2000
Related Conversions
Other decimal to fraction conversions you might find useful