(a) The product of two proper fractions is less than each of the fractions that are multiplied.
(b) The product of a proper and an improper fraction is less than the improper fraction and greater than the proper fraction.
(c) The product of two improper fractions is greater than the two fractions.

Explanation

A proper fraction is a fraction in which numerator is less than the denominator.

An improper fraction is a fraction in which numerator is greater than the denominator.

(a) Let `x = 3/5, y = 4/5`

Here, `x` and `y` are proper fractions.

Then, their product `= xy = (3/5)(4/5) = 12/25`

As, `12/25 lt 3/5 and 12/25 lt 4/5.`

So, product of two proper fractions is less than each of the fractions.


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