Question

hi i need help with a ton of math but mainly fractions and unit rates and expressions ill give examples of what i need help with First Question

Answer 1

Answer::

`(3)/(5)x+2`

Explanation:

Given the sum:

`\left((2)/(5) x+3\right)+\left((1)/(5) x-1\right)`

First, remove the brackets:

`=(2)/(5)x+3+(1)/(5)x-1`

Next, rearrange to bring like terms together, i.e. bring all the numbers without any letter (variable) attached together.

`={(2)/(5)}x+(1)/(5)x+3-1`

We can then add the like terms:

Using the diagram below:

This means that:

`\begin{gathered} (2)/(5)+(1)/(5)=(3)/(5) \\ (2)/(5)x+(1)/(5)x=(3)/(5)x \end{gathered}`

So, we then have:

`(2)/(5)x+(1)/(5)x+3-1=(3)/(5)x+2`

The sum of the expression is:

`(3)/(5)x+2`