0.71 as a Fraction

0.71 as a fraction71/100
Fraction
71/100
Percent
71%
Closest simple fraction
22/31 (≈ 0.709677)

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

0.71 = 71/100

0.71 as a fraction in simplest form is 71/100.

Step by step

  1. 0.71 has 2 decimal places, so write it over 100: 71/100.
  2. Find the greatest common divisor of 71 and 100: 1.
  3. Divide the top and bottom by 1: 71 ÷ 1 = 71, 100 ÷ 1 = 100.
  4. So 0.71 = 71/100.

Details

Fraction
71/100
Percent
71%
Nearest 1/16 (tape measure)
11/16
Reciprocal
100/71 ≈ 1.4085

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
0.6767/100
0.6817/25
0.687511/16
0.6969/100
0.77/10
0.7171/100
0.7218/25
0.7373/100
0.7437/50

Related conversions

Frequently asked questions

What is 0.71 as a fraction?

0.71 is 71/100 in simplest form.

How do you convert 0.71 to a fraction?

Write 0.71 as 71/100, then divide the top and bottom by 1 to get 71/100.

What is 0.71 as a percentage?

0.71 × 100 = 71%.

Is 71/100 in simplest form?

Yes — 71 and 100 have no common factor other than 1.

Related tools