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 [tex]\frac{a}{b} / \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}[/tex].
Therefore, the equation is [tex]\frac{y}{4} \times \frac{8}{y}[/tex] which can be simplified by cross reduction to [tex]\frac{2y}{1y} = \frac{2}{1} = 2[/tex].
Therefore, the answer is c. 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 :
[tex]Q=\dfrac{y}{4}\div\dfrac{y}{8}~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following rule :
[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}.[/tex]
From (i), we get
[tex]Q\\\\\\=\dfrac{y}{4}\div\dfrac{y}{8}\\\\\\=\dfrac{y}{4}\times \dfrac{8}{y}\\\\\\=\dfrac{8}{4}~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }y\neq 0]\\\\=2.[/tex]
Thus, the required quotient is 2.
Option (c) is CORRECT.
