Question

What is the quotient of y/4÷y/8? assume y =/ 0

a. 1/4
b. 1/2
c. 2
d. 4

Answer 1

Assumin a is a non-zero real number, the answer is 2. This is because to divide fractions, you must multiply the first by the second's reciprocal
`(a)/(b) / (c)/(d) = (a)/(b) * (d)/(c)`.

Therefore, the equation is
`(y)/(4) * (8)/(y)` which can be simplified by cross reduction to
`(2y)/(1y) = (2)/(1) = 2`.

Therefore, the answer is c. 2.

Answer 2

Answer: The correct option is (c) 2.

Step-by-step explanation: We are given to find the quotient of the following division for y not equal to 0 :

`Q=(y)/(4)/(y)/(8)~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following rule :

`(a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c).`

From (i), we get

`Q\\\\\\=(y)/(4)/(y)/(8)\\\\\\=(y)/(4)* (8)/(y)\\\\\\=(8)/(4)~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }y\\eq 0]\\\\=2.`

Thus, the required quotient is 2.

Option (c) is CORRECT.