How do you solve n/(n+1)=3/5?

Apr 27, 2017

Isolate n.

Explanation:

Firstly we can multiply both sides by $n + 1$, doing this, we get: $\frac{n}{n + 1} \cdot n + 1 = \frac{3}{5} \cdot \left(n + 1\right) = n$
Now we can multiply both sides by $5$, $n \cdot 5 = \frac{3}{5} \cdot \left(n + 1\right) \cdot 5 \to 5 n = 3 n + 3$, solving for $n$ we get $2 n = 3 , n = \frac{3}{2}$

Apr 27, 2017

n = $\frac{3}{2}$

Explanation:

First, you have to understand cross multiplying.
5 would cross with n to make 5n
3 would cross with n + 1 to make 3n + 3

The equation would look like 5n = $3 n + 3$
Bring 3n over to 5n and subtract from both sides.
3n - 3n would cancel out while 5n - 3n would give 2n.

The equation would look like: 2n = 3
Divide 3$\div i \mathrm{de}$2. (Do not be afraid of fractions)

$n = \frac{3}{2}$