Question

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

Answer 1

I think it is larger than the dividend.

Answer 2

The quotient obtained is less than 1.

Explanation:

Given : When you divide a fraction less than 1 by a whole number greater than 1.

We have to find that the quotient obtained is less than, greater then, or equal to the dividend.

We will solve it using an example,

Lets consider a fraction less than 1 say
`(2)/(3)`

And a whole number 4 which is greater than 1.

Then , When you divide a fraction less than 1 by a whole number greater than 1.

that is when we divide
`(2)/(3)` by 4, we obtained

`(2)/(3)/4=(2)/(3)*(1)/(4) =(1)/(6)`

And when we simplify
`(1)/(6)` we obtain quotient as 0.16667.. which is less than 1.

Thus, the quotient obtained is less than 1.