Question

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

a. 2
b. 3
c. 10
d. 75

Answer 1

a. 2 since the denominator 5 *3 = 15. so 2/3 *3 must equal 6/3, which simplifies to 2.

Answer 2

a. 2

Explanation:

We have been given an equation
`((2)/(3))/(5)=(x)/(15)`. We are asked to find the value of x.

Using property
`((a)/(b))/(c)=(a)/(b*c)`, we can rewrite our equation as:

`(2)/(3*5)=(x)/(15)`

`(2)/(15)=(x)/(15)`

Now, we will cross multiply our equation:

`15*x=2*15`

`(15*x)/(15)=(2*15)/(15)`

`x=2`

Therefore, the value of x is 2 and option 'a' is the correct choice.