0.4 as a Fraction

0.4 as a fraction2/5
Fraction
2/5
Percent
40%

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

0.4 = 2/5

0.4 as a fraction in simplest form is 2/5.

Step by step

  1. 0.4 has 1 decimal place, so write it over 10: 4/10.
  2. Find the greatest common divisor of 4 and 10: 2.
  3. Divide the top and bottom by 2: 4 ÷ 2 = 2, 10 ÷ 2 = 5.
  4. So 0.4 = 2/5.

Details

Fraction
2/5
Percent
40%
Nearest 1/16 (tape measure)
3/8
Reciprocal
5/2 ≈ 2.5

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
0.3737/100
0.3753/8
0.3819/50
0.3939/100
0.42/5
0.4141/100
0.4221/50
0.4343/100
0.43757/16

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Frequently asked questions

What is 0.4 as a fraction?

0.4 is 2/5 in simplest form.

How do you convert 0.4 to a fraction?

Write 0.4 as 4/10, then divide the top and bottom by 2 to get 2/5.

What is 0.4 as a percentage?

0.4 × 100 = 40%.

Is 2/5 in simplest form?

Yes — 2 and 5 have no common factor other than 1.

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