Question

Which expression is equivalent to the following complex fraction?2-1/y / 3+ 1/y​

Answer 1

Answer:

d) 2y-1 / 3y+1

Step-by-step explanation:

just took the quiz on edge

Answer 2

Answer:

$\frac{2-\frac{1}{y} }{3+\frac{1}{y} }$ is equivalent to $\frac{2y-1}{3y-1}$

Step-by-step explanation:

The given expression is :$\frac{2-\frac{1}{y} }{3+\frac{1}{y} }$.

We collect LCM in both the numerator and the denominator to obtain:

$\frac{\frac{2y-1}{y} }{\frac{3y-1}{y} }$

Change to the normal division sign;

$\frac{2y-1}{y} \div \frac{3y-1}{y}$

Multiply by the reciprocal of the second fraction:

$\frac{2y-1}{y} \times \frac{y}{3y-1}$

Cancel out the common factors

$\frac{2y-1}{3y-1}$

Therefore $\frac{2-\frac{1}{y} }{3+\frac{1}{y} }$ is equivalent to $\frac{2y-1}{3y-1}$