Question

When you divide a fraction less than 1 by a whole number greater than 1 is the quotient less than,greater than, or equal to the dividend?

Answer 1

Less than one

Explanation:

Suppose that you have a pizza divided into some equal parts (in m parts). Each of these parts is represented by a fraction (
`(1)/(m)`) less than 1. If you want to share one part of this pizza between some friends (for example, between n friends), you should divide this part of pizza into equal number of parts (in n parts). What do each friend get? A part from a part. The quotient is less than one.

Mathematically,

`((1)/(m))/(n)=(1)/(m)\cdot (1)/(n)=(1)/(mn).`