Evaluate the expression when x = 3: (2x +3)/(5x)

Question

Evaluate the expression when x = 3:
`(2x +3)/(5x)`

Answer 1

Hello :)

Answer -

3/5

Step-by-step explanation -

Our task is to evaluate the expression
`\sf{\cfrac{2x+3}{5x}}` when x = 3:

`\sf{\cfrac{2(3)+3}{5(3)}}`

`\sf{\cfrac{6+3}{15}}`

`\sf{\cfrac{9}{15}}`

`\sf{\cfrac{3}{5}}`

Henceforth, the answer is 3/5.

Answer 2

Answer:
`(3)/(5)`

Explanation:

This question is only a matter of plugging in, and then simplifying. The fact that we are given x = 3 provides us with great leverage for this problem.

1. Plug in the 3 for x for the numerator of the given fraction. It should now look like:
   `(2(3)+3)/(5x)`Which gives us:
   `(9)/(5x)`
2. Do the same for the denominator
   `(9)/(5(3))`Which gives us
   `(9)/(15)`
3. Lastly, if applicable, simplify your final answer. We find that both 9 and 15 are divisible by 3. Leaving us with a final answer of:
   `(3)/(5)`