Question

what is the quotient of \\(\frac{y}{4} \div \frac{y}{8}\\)? assume \\(y \
eq 0\\). \\(\circ \frac{1}{4}\\) \\(\circ \frac{1}{2}\\) \\(\circ 2\\) \\(\circ 4\\)

Explanation:

Step1: Recall division of fractions rule

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. So, \(\frac{y}{4} \div \frac{y}{8}=\frac{y}{4}\times\frac{8}{y}\) (since \(y
eq0\), we can cancel \(y\)).

Step2: Simplify the expression

Cancel out the \(y\) terms: \(\frac{\cancel{y}}{4}\times\frac{8}{\cancel{y}}=\frac{8}{4}\)

Step3: Calculate the result

\(\frac{8}{4} = 2\)

Answer:

2