Question

Write an equivalent expression for 1/y-1/4

Answer 1

We have the expression $\frac{1}{y- \frac{1}{4} }$. To write a equivalent expression, we are going to rewrite the denominator of our expression using its common denominator 4:
$\frac{1}{y- \frac{1}{4} } = \frac{1}{ \frac{4y-1}{4} }$
Now, notice that we are basically diving 1 by $\frac{4y-1}{4}$, so we have a division involving fractions, and remember that to divide fractions, we just need to invert the second fraction and multiply:
$\frac{1}{ \frac{4y-1}{4} } =1* \frac{4}{4y-1} = \frac{4}{4y-1}$

We can conclude that the equivalent expression of $\frac{1}{y- \frac{1}{4} }$ is $\frac{4}{4y-1}$.