Question

Evaluate the expression when b = 2/3 c = -2/5.-3c - bWrite your answer in simplest form.

Answer 1

`-3c-b=(8)/(15)`

Step-by-step explanation:

We have:

`\begin{gathered} b=(2)/(3) \\ c=-(2)/(5) \end{gathered}`

The expression is:

`-3c-b`

To evaluate, we replace the given values of b and c in the expression:

`-3\cdot(-(2)/(5))-(2)/(3)`

And solve:

`3\cdot(2)/(5)-(2)/(3)`
`(6)/(5)-(2)/(3)`

The least common multiply of 3 and 5 is 3 * 5 = 15. Then:

`(6\cdot3)/(5\cdot3)-(2\cdot5)/(3\cdot5)=(18)/(15)-(10)/(15)`

Now we can rest the numerators:

`(18)/(15)-(10)/(15)=(8)/(15)`

And that's the answer