Question

Valentina is subtracting from. She finds the LCD to be 15y2. What is Valentina's next step?

Answer 1

The correct option is A) Multiply
`(6y+8)/(3y)((5y)/(5y))` and
`(2y)/(5y^2)((3)/(3))`.

Explanation:

Consider the provided expression.

Subtract
`(6y+8)/(3y)` from
`(2y)/(5y^2)`

It is given that LCD of the expression is 15y².

Now observe the denominator of each expression.

The expression
`(6y+8)/(3y)` has denominator 3y.

In order to make denominator 15y² multiply 3y with 5y.

`3y*{5y}=15y^2`

The expression
`(2y)/(5y^2)` has denominator 5y².

In order to make denominator 15y² in second expression, multiply 5y² with 3.

`5y^2*{3}=15y^2`

Thus, the next step is:

Multiply
`(6y+8)/(3y)((5y)/(5y))` and
`(2y)/(5y^2)((3)/(3))`.

Therefore, the correct option is A) Multiply
`(6y+8)/(3y)((5y)/(5y))` and
`(2y)/(5y^2)((3)/(3))`.

Answer 2

Subtract
`(6y+8)/(3y)` from
`(2y)/(5y^2)`

LCD is 15y^2

First fraction has denominator 3y

To get LCD 15y^2 we multiply 3y by 5y. because 3y * 5y = 15y^2

Also to get 15y^2 in second denominator, we multiply 5y^2 by 3

because 5y^2 * 3= 15y^2

multiply
`(6y+8)/(3y)((5y)/(5y))` from
`(2y)/(5y^2)((3)/(3))`

Answer is option A