Question

What is the value of x in the proportion below?
2/3/5= x/15

Answer 1

Answer: $x=2$

Step-by-step explanation:

Given the following proportion:

$\frac{\frac{2}{3}}{5}=\frac{x}{15}$

You can follow these steps in order to find the value of "x":

1. You need to remember that:

$\frac{\frac{a}{b}}{c}=\frac{\frac{a}{b}}{\frac{c}{1}}= \frac{a*1}{b*c}=\frac{a}{b*c}$

Then:

$\frac{\frac{2}{3}}{5}=\frac{x}{15}\\\\\frac{{\frac{2}{3}}}{{\frac{5}{1}}}=\frac{x}{15}\\\\\frac{2*1}{3*5}= \frac{x}{15}\\\\\frac{2}{15}= \frac{x}{15}$

2. Finally, you need to multiply both sides of the equation by 15. Then you get that the value of "x" is:

$(15)(\frac{2}{15})= (\frac{x}{15})(15)\\\\x=2$