0.83 as a Fraction

0.83 as a fraction83/100
Fraction
83/100
Percent
83%
Closest simple fraction
39/47 (≈ 0.829787)

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

0.83 = 83/100

0.83 as a fraction in simplest form is 83/100.

Step by step

  1. 0.83 has 2 decimal places, so write it over 100: 83/100.
  2. Find the greatest common divisor of 83 and 100: 1.
  3. Divide the top and bottom by 1: 83 ÷ 1 = 83, 100 ÷ 1 = 100.
  4. So 0.83 = 83/100.

Details

Fraction
83/100
Percent
83%
Nearest 1/16 (tape measure)
13/16
Reciprocal
100/83 ≈ 1.2048

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
0.7979/100
0.84/5
0.8181/100
0.812513/16
0.8241/50
0.8383/100
0.8421/25
0.8517/20
0.8643/50

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Frequently asked questions

What is 0.83 as a fraction?

0.83 is 83/100 in simplest form.

How do you convert 0.83 to a fraction?

Write 0.83 as 83/100, then divide the top and bottom by 1 to get 83/100.

What is 0.83 as a percentage?

0.83 × 100 = 83%.

Is 83/100 in simplest form?

Yes — 83 and 100 have no common factor other than 1.

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