Write two fractions whose quotient is 28/45?

(7/9) : (5/4) = 28/45

Step-by-step explanation:

Fractions can be divided by using the rule "invert and multiply". We can look at the factors of 28 and 45 to see what might have been multiplied to get these numbers.

28 = 1·28 = 2·14 = 4·7

45 = 1·45 = 3·15 = 5·9

So, there are a number of possibilities. A couple of them are ...

28/45 = (7/9) * (4/5) = (4/9) * (7/5)

If we choose to use the first of these pairs of fractions, we can invert one of the fractions to make the denominator, then write the quotient as either of ...

(7/9) : (5/4)

or

(4/5) : (9/7)