0.05 as a Fraction

0.05 as a fraction1/20
Fraction
1/20
Percent
5%

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

0.05 = 1/20

0.05 as a fraction in simplest form is 1/20.

Step by step

  1. 0.05 has 2 decimal places, so write it over 100: 5/100.
  2. Find the greatest common divisor of 5 and 100: 5.
  3. Divide the top and bottom by 5: 5 ÷ 5 = 1, 100 ÷ 5 = 20.
  4. So 0.05 = 1/20.

Details

Fraction
1/20
Percent
5%
Nearest 1/16 (tape measure)
1/16
Reciprocal
20/1 ≈ 20

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
0.0251/40
0.033/100
0.041/25
0.051/20
0.063/50
0.06251/16
0.077/100
0.0753/40
0.082/25

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Frequently asked questions

What is 0.05 as a fraction?

0.05 is 1/20 in simplest form.

How do you convert 0.05 to a fraction?

Write 0.05 as 5/100, then divide the top and bottom by 5 to get 1/20.

What is 0.05 as a percentage?

0.05 × 100 = 5%.

Is 1/20 in simplest form?

Yes — 1 and 20 have no common factor other than 1.

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