0.09 as a Fraction

0.09 as a fraction9/100
Fraction
9/100
Percent
9%
Closest simple fraction
1/11 (≈ 0.090909)

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

0.09 = 9/100

0.09 as a fraction in simplest form is 9/100.

Step by step

  1. 0.09 has 2 decimal places, so write it over 100: 9/100.
  2. Find the greatest common divisor of 9 and 100: 1.
  3. Divide the top and bottom by 1: 9 ÷ 1 = 9, 100 ÷ 1 = 100.
  4. So 0.09 = 9/100.

Details

Fraction
9/100
Percent
9%
Nearest 1/16 (tape measure)
1/16
Reciprocal
100/9 ≈ 11.1111

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
0.063/50
0.06251/16
0.077/100
0.0753/40
0.082/25
0.099/100
0.11/10
0.1111/100
0.123/25

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Frequently asked questions

What is 0.09 as a fraction?

0.09 is 9/100 in simplest form.

How do you convert 0.09 to a fraction?

Write 0.09 as 9/100, then divide the top and bottom by 1 to get 9/100.

What is 0.09 as a percentage?

0.09 × 100 = 9%.

Is 9/100 in simplest form?

Yes — 9 and 100 have no common factor other than 1.

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