Question

Simplify:
y^2/4+y/3+y^2/3-y/5

Answer 1

Answer:
`(7)/(20)y^2 +(2)/(15) y`

Explanation:

1. Expand the fraction to get the least common denominator

`(3y^2)/(3*4) +(y^2)/(3)`

2. Multiply the numbers

`(3y^2)/(12) +(4y^2)/(4*3)`

`(3y^2)/(12) +(y^2)/(12)`

3. Write all numerators above the common denominator

`(3y^2+4y^2)/(12)`

4. Collect like terms

`(7y^3)/(12)`

5. Write the expression as a product with the factor
`(7)/(12)`

`(7)/(12)y^2+(y)/(3)- (y)/(5)`

6. Calculate the difference

`(7)/(12)y^2 +(2)/(15)y`