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

$\frac{x}{\frac{3}{4} }$

The quotient was a whole number

so, we get

$\frac{x}{\frac{3}{4} }=n$

now, we can solve for x

$\frac{3}{4}\times \frac{x}{\frac{3}{4} }=\frac{3}{4}\times n$

$x=\frac{3n}{4}$

where n is whole numbers

At n=0:

$x=\frac{3*0}{4}$

$x=0$

here , x is not fraction

so, n=0 is not possible

At n=1:

$x=\frac{3*1}{4}$

$x=\frac{3}{4}$

At n=2:

$x=\frac{3*2}{4}$

$x=\frac{3}{2}$

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

Answer 2

Answer:

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

Step-by-step explanation: