Question

There are 15 non fiction books and 37 fiction books in the teacher’s collection. Which of the following expresses the ratio of fiction books to non fiction books in simplest form?

A. 15:37
B. 15/37
C. 37:15
D. 3:5

Answer 1

The answer is A. 15:37 Good luck to you! Stay safe and Healthy!

Answer 2

To simplify a ratio, first make into the fraction form. a:b =
`(a)/(b)`

Then find the prime factors of both the numerator and denominator.


`(15)/(37) = ((3)(5))/((1)(37))`

Now cancel out any common factors. But if there isn't any common factors, then the fraction or ratio is in its simplest formula.

And that is the case here.

And because the question wants the answer in ratio form, make the fraction back into a ratio.

So, A. 15:37 is the answer.