How to convert 0.45 to a fraction?

0.45 = 45/100 Then simplify to 9/20.

0.45 terminating or repeating?

It is a terminating decimal. The simplest fraction is 9/20.

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0.45 =

0.45

100

(2 decimal places → denominator 100)

45/100

→ simplify ÷5

(divide numerator and denominator by 5)

Step 1: 0.45 has 2 decimal places, so write it as 45/100.

Step 2: Divide numerator and denominator by 5: 45/100 → 9/20.

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

Why can 0.45 be converted to a fraction?: Decimals can be expressed as fractions by using place value and simplifying.
0.45 terminating or repeating?: It is terminating.
Can it be simplified further?: 9/20 is simplest.

Percentage & Ratio: 0.45 can be interpreted as 9/20 in practical scenarios like discounts and rates.

Statistics: A proportion of 0.45 often represents a 45% probability — for example, a 45% significance level (p-value) in experiments or surveys.

Finance: Rates expressed with 0.45 (e.g., 45%) appear in returns and fees.