Question

What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

Answer 1

Answer:

value of n = 2

Step-by-step explanation:

$\frac{4}{5n}-\frac{1}{5}=\frac{2}{5n}$

We need to solve the above equation.

Find Least Common multiplier from 5n, 5 = 5n

Multiply both sides of the equation by 5n

$\frac{4}{5n}*5n-\frac{1}{5}*5n=\frac{2}{5n}*5n\\Solving:\\4 -n = 2$

Now finding the value of n.

Adding -4 on both sides

$4 -n-4 = 2-4\\-n= -2$

Multiplying both sides by -1

n = 2

The value of n is 2.

We can verify by putting value of n in the given question.

$\frac{4}{5n}-\frac{1}{5}=\frac{2}{5n}\\n=2\\\frac{4}{5*2}-\frac{1}{5}=\frac{2}{5*2}\\\frac{4}{10}-\frac{1}{5}=\frac{2}{10}\\\frac{2}{5}-\frac{1}{5}=\frac{1}{5}\\\frac{2-1}{5}=\frac{1}{5}\\\frac{1}{5}=\frac{1}{5}$

So, value of n = 2