Question

Mario claims that if the dinominator of a fraction is a prime number, then its decimal form is a repeting decimal. Do you agree? Use an example to explain

Answer 1

I do not agree because Mario's claim is not general.

Explanation:

Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.

And a denominator is the divisor in a given fraction.

Considering the following fractions whose denominators are prime numbers:

`(2)/(3)` = 0.66666666...

`(1)/(7)` = 0.142857142

`(5)/(11)` = 0.45454545...

`(3)/(13)` = 0.23076923

`(1)/(7)` = 0.142857142

It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.