Question

Olivia divided a fraction by 3/4. The quotient was a whole number. Was the the dividend less than 3/4? Explain

Answer 1

Let's assume

Let's assume that fraction as 'x'

and whole number as 'n'

Olivia divided a fraction by 3/4

so, we get

The quotient was a whole number

so, we get

now, we can solve for x

where n is whole numbers

At n=0:

here , x is not fraction

so, n=0 is not possible

At n=1:

At n=2:

we know that x is dividend

and x can be equal to 3/4

and greater than 3/4

But it can not be less than 3/4..............Answer

Explanation:

Answer 2

Let's assume

Let's assume that fraction as 'x'

and whole number as 'n'

Olivia divided a fraction by 3/4

so, we get

`(x)/((3)/(4) )`

The quotient was a whole number

so, we get

`(x)/((3)/(4) )=n`

now, we can solve for x

`(3)/(4)* (x)/((3)/(4) )=(3)/(4)* n`

`x=(3n)/(4)`

where n is whole numbers

At n=0:

`x=(3*0)/(4)`

`x=0`

here , x is not fraction

so, n=0 is not possible

At n=1:

`x=(3*1)/(4)`

`x=(3)/(4)`

At n=2:

`x=(3*2)/(4)`

`x=(3)/(2)`

we know that x is dividend

and x can be equal to 3/4

and greater than 3/4

But it can not be less than 3/4..............Answer