0.3 as a Fraction

0.3 as a fraction3/10
Fraction
3/10
Percent
30%

Exact fraction = decimal digits over a power of ten, reduced by the greatest common divisor.

0.3 = 3/10

0.3 as a fraction in simplest form is 3/10.

Step by step

  1. 0.3 has 1 decimal place, so write it over 10: 3/10.
  2. Find the greatest common divisor of 3 and 10: 1.
  3. Divide the top and bottom by 1: 3 ÷ 1 = 3, 10 ÷ 1 = 10.
  4. So 0.3 = 3/10.

Details

Fraction
3/10
Percent
30%
Nearest 1/16 (tape measure)
5/16
Reciprocal
10/3 ≈ 3.3333

How it works

To turn a decimal into a fraction, count the digits after the decimal point, write the digits over 10, 100, 1,000 and so on, then simplify by dividing the numerator and denominator by their greatest common divisor. A decimal that ends (terminates) always converts to an exact fraction; a decimal that repeats forever, such as 0.333…, equals a fraction like 1/3.

Nearby values

DecimalFraction
0.2727/100
0.287/25
0.2929/100
0.33/10
0.3131/100
0.31255/16
0.328/25
0.3333/100
0.333333/1000

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Frequently asked questions

What is 0.3 as a fraction?

0.3 is 3/10 in simplest form.

How do you convert 0.3 to a fraction?

Write 0.3 as 3/10, then divide the top and bottom by 1 to get 3/10.

What is 0.3 as a percentage?

0.3 × 100 = 30%.

Is 3/10 in simplest form?

Yes — 3 and 10 have no common factor other than 1.

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