How to convert 0.09 to a fraction?

0.09 = 9/100 Then simplify to 9/100.

0.09 terminating or repeating?

It is a terminating decimal. The simplest fraction is 9/100.

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0.09 =

100

0.09

100

(2 decimal places → denominator 100)

9/100

→ simplify ÷1

100

(already in simplest terms, gcd=1)

Step 1: 0.09 has 2 decimal places, so write it as 9/100.

Step 2: Already in simplest form (gcd=1): 9/100.

Property: In simplest terms, denominators with prime factors only 2 and/or 5 produce terminating decimals.

Why can 0.09 be converted to a fraction?: Decimals can be expressed as fractions by using place value and simplifying.
0.09 terminating or repeating?: It is terminating.
Can it be simplified further?: 9/100 is simplest.

Percentage & Ratio: 0.09 can be interpreted as 9/100 in practical scenarios like discounts and rates.

Statistics: A proportion of 0.09 often represents a 9% probability — for example, a 9% significance level (p-value) in experiments or surveys.

Finance: Rates expressed with 0.09 (e.g., 9%) appear in returns and fees.