Question

What is the decimal expansion of the following fraction? 1/3 A. B. C. D.

Answer 1

To the nearest two decimal place, the decimal expansion of the fraction 1/3 is 0.33.

How to convert fractions to decimal

The decimal expansion of the given improper fraction 1/3 can be determined by dividing denominator by the numerator. By doing so, we find how many times does 3 goes in 1;

i.e.

`(1)/(3)= 0.`

Add one zero to the numerator, we have:

`(10)/(3)= 0.3` remainder 1, if we add another zero to the numerator, we get:

`(10)/(3)= 0.33`

And it keeps repeating itself, so we can infer that the decimal expansion of the fraction 1/3 gives a non-terminating decimal of 0.3333.

We can conclude that to the nearest two decimal place, the decimal expansion of the fraction 1/3 is 0.33.