2/7n+n=5/9

To solve the equation 2/7n + n = 5/9, we need to isolate the variable n. Here's the step-by-step solution:

1. Start by combining the two terms on the left side of the equation: 2/7n + n becomes (2/7 + 1)n or (9/7)n.

So, the equation becomes (9/7)n = 5/9.

2. To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of (9/7), which is (7/9). By doing this, we eliminate the fraction on the left side.

(7/9) * (9/7)n = (7/9) * (5/9)

This simplifies to n = 35/63.

3. The fraction 35/63 can be further reduced to its simplest form. Both the numerator and denominator share a common factor of 7, so we divide both by 7.

n = (35/7) / (63/7)
n = 5/9

So, the solution to the equation 2/7n + n = 5/9 is n = 5/9.