Converting 0.395 to a Fraction
Step-by-step explanation of how to convert 0.395 to a fraction

Result

0.395 =
79
200

Step 1: Identify the number of decimal places

The decimal 0.395 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.395 × 1000 = 395

Step 3: Write as a fraction

0.395 =

395
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 395 and 1000.

GCD(395, 1000) = 5

Divide both the numerator and denominator by the GCD:

395
1000

=

395 ÷ 5
1000 ÷ 5

=

79
200
Related Conversions
Other decimal to fraction conversions you might find useful