Question

What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth

Answer 1

`(3)/(2)`

Explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

`-(3)/(8)`

2nd fraction is negative one-fourth

i.e.

`-(1)/(4)`

We have to find the quotient when 1st fraction is divided by 2nd fraction.

Definition of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

`-(3)/(8) / -(1)/(4) \text{ is to be calculated.}`

`/` is converted to
`*` and the 2nd fraction is reversed i.e.

if the fraction is
`(p)/(q)` it becomes
`(q)/(p)` and the sign
`/` is changed to
`*`.

Solving above:

`-(3)/(8) * -(4)/(1)\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow (3)/(2)`

So, the quotient is
`(3)/(2)`.