Answer:
![(15y-10)/(15y-3)](https://img.qammunity.org/2021/formulas/mathematics/college/okdnibarrfhdbcnx426btvuyt2n8s9jsd6.png)
Explanation:
First at all, we need to use
to convert this expression into a fraction, like:
to convert into
.
Expand the fraction to get the least common denominator, like
![(3y)/(3*1)-(2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/college/cv6ahd5oqg85yrj8nyq5n2aa3sqg0vn0m3.png)
Write all numerators above the common denominator, like this:
![(3y-2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/college/phy8cxeazae14rzto5cuw0uvq2dr1854ne.png)
The bottom one used the same way to became simplest form, like this:
![y+(1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/college/zzw3ijwr8xujrhfb13l17no3o2i5pvpczj.png)
![(y)/(1) +(1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/college/tl3ks2ypjogm0eu487dxm8d6f6wa5tgbbv.png)
![(5y)/(5*1)+(1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/college/46gg2mns3suadyuhrxlxjrvwr4loegtevi.png)
![(5y+1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/college/l2n6a10gd6fbrntaie2nlkyz9z3ownj7xo.png)
And it became like this:
![(3y-2)/(3)/(5y+1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/college/uwb18zgi0jed32bllq1rqgo43dg5f54xjl.png)
Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.
![(3y-2)/(3)*(5y+1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/college/c1nk72cjhg5jwap2cqwzylclf0yop7d4kn.png)
3y-2(5) and 5y-1(3)
and it will becomes like this in function form:
![(3y-2(5))/(5y+1(3))](https://img.qammunity.org/2021/formulas/mathematics/college/zd2rjxumnm3xsse6tvkd614nlk0jwg177f.png)
Then, we should distribute 5 through the parenthesis
![(15y-10)/(5y+1(3))](https://img.qammunity.org/2021/formulas/mathematics/college/1xzylmfelrzcs9hcgl3xwsuycxgubammk3.png)
![(15y-10)/(15y+3)](https://img.qammunity.org/2021/formulas/mathematics/college/8i1b0i8vd5rqgh2n1ag0ebcz0iv0iqkz45.png)
And.... Here we go. That is the answer.