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?

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:

$\dfrac{4}{5}n-\dfrac{1}{5}=\dfrac{2}{5}n.$

Solving the above equation, we get

$\dfrac{4}{5}n-\dfrac{1}{5}=\dfrac{2}{5}n\\\\\\\Rightarrow \dfrac{4}{5}n-\dfrac{2}{5}n=\dfrac{1}{5}\\\\\\\Rightarrow \dfrac{4-2}{5}n=\dfrac{1}{5}\\\\\\\Rightarrow \dfrac{2}{5}n=\dfrac{1}{5}\\\\\\\Rightarrow n=\dfrac{5}{2\times 5}\\\\\\\Rightarrow n=\dfrac{1}{2}.$

Thus, the required simplified form is $n=\dfrac{1}{2}.$

Option (C) is CORRECT.