0.667 as a Fraction

0.667 as a fraction667/1000
Fraction
667/1000
Percent
66.7%
Closest simple fraction
2/3 (≈ 0.666667)

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

0.667 = 667/1000

0.667 as a fraction in simplest form is 667/1000.

Step by step

  1. 0.667 has 3 decimal places, so write it over 1000: 667/1000.
  2. Find the greatest common divisor of 667 and 1000: 1.
  3. Divide the top and bottom by 1: 667 ÷ 1 = 667, 1000 ÷ 1 = 1000.
  4. So 0.667 = 667/1000.

Details

Fraction
667/1000
Percent
66.7%
Nearest 1/16 (tape measure)
11/16
Reciprocal
1000/667 ≈ 1.4993

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
0.6416/25
0.6513/20
0.6633/50
0.666333/500
0.667667/1000
0.6767/100
0.6817/25
0.687511/16
0.6969/100

Related conversions

Frequently asked questions

What is 0.667 as a fraction?

0.667 is 667/1000 in simplest form.

How do you convert 0.667 to a fraction?

Write 0.667 as 667/1000, then divide the top and bottom by 1 to get 667/1000.

What is 0.667 as a percentage?

0.667 × 100 = 66.7%.

Is 667/1000 in simplest form?

Yes — 667 and 1000 have no common factor other than 1.

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