Question

Simplify y-2/3/y+1/5

Answer 1

Answer:

$\frac{15y-10}{15y-3}$

Step-by-step explanation:

First at all, we need to use $a=\frac{a}{1}$ to convert this expression into a fraction, like:

$y-\frac{2}{3}$ to convert into $\frac{y}{1} -\frac{2}{3}$.

Expand the fraction to get the least common denominator, like

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

Write all numerators above the common denominator, like this:

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

The bottom one used the same way to became simplest form, like this:

$y+\frac{1}{5}$

$\frac{y}{1} +\frac{1}{5}$

$\frac{5y}{5*1}+\frac{1}{5}$

$\frac{5y+1}{5}$

And it became like this:

$\frac{3y-2}{3}/\frac{5y+1}{5}$

Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.

$\frac{3y-2}{3}*\frac{5y+1}{5}$

3y-2(5) and 5y-1(3)

and it will becomes like this in function form:

$\frac{3y-2(5)}{5y+1(3)}$

Then, we should distribute 5 through the parenthesis

$\frac{15y-10}{5y+1(3)}$

$\frac{15y-10}{15y+3}$

And.... Here we go. That is the answer.