Question

Solve the proportion. Show your work. 3/(x + 1) = 5/11

Answer 1

3/(x +1) = 5/11
(x + 1)/3 = 11/5
x + 1 = 33/5
x = 33/5 - 1
x = 28/5 = 5 3/5

Answer 2

Answer: $x=5\frac{3}{5}$

Step-by-step explanation:

The given proportion : $\frac{3}{(x+1)}=\frac{5}{11}\\\\\text{Multiplying both sides by 11 (x+1), we get}$

$\frac{3}{(x+1)}\times11(x+1)=\frac{5}{11}\times11(x+1)\\\\\Rightarrow\ 33=5(x+1)\\\\\Rightarrow\ 33=5x+5\\\\\text{Subtract 5 on both sides, we get}\\\\\Rightarrow\ 5x=33-5\\\\\Rightarrow\ 5x=28\text{Dividing 5 on both sides, we get}\\\\\Rightarrow x=\frac{28}{5}\\\\\text{In mixed fraction}\\\\ x=5\frac{3}{5}$