Question

What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3

Answer 1

4/5n – 1/5 = 2/5n
Add 1/5 to both sides
4/5n = 2/5n + 1/5
Subtract 2/5n from both sides
2/5n = 1/5
Divide both sides by 2/5

n = 1/2

Answer 2

Answer: The correct option is

(C) n = fraction 1 over 2.

Step-by-step explanation: We are to find the simplified form of the fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n.

From the given information, we can write the equation as follows:

`(4)/(5)n-(1)/(5)=(2)/(5)n.`

Solving the above equation, we get

`(4)/(5)n-(1)/(5)=(2)/(5)n\\\\\\\Rightarrow (4)/(5)n-(2)/(5)n=(1)/(5)\\\\\\\Rightarrow (4-2)/(5)n=(1)/(5)\\\\\\\Rightarrow (2)/(5)n=(1)/(5)\\\\\\\Rightarrow n=(5)/(2* 5)\\\\\\\Rightarrow n=(1)/(2).`

Thus, the required simplified form is
`n=(1)/(2).`

Option (C) is CORRECT.