Good evening, I posted this question this morning. The answer that someone posted was not clear.
Could someone please help me with this problem?
x:9=2/3:36
The answer is 0.1666
But this is what I keep getting:
x/9 = (2/3)/36
x * 36/36= (2/3) * (9/1) /36
(2/3) * (9/1) /36 = 6
6/36 = 6
Thank you in advance!
x:9=2/3:36
x*36 = 9 * 2/3
36x = 6
x = 1/6 = 0.1666
or,
x/9 = (2/3)/36
x/9 = 2/108
x/9 = 1/54
x = 9/54 = 1/6
maybe you should try some other proportions with less complicated numbers, to learn the method and why it works.
Good evening! I'd be happy to help you understand how to solve the problem correctly.
Let's start by breaking down the equation x:9 = 2/3:36 into simpler steps.
Step 1: Simplify the right side of the equation.
2/3:36 can be rewritten as 2/3 * 1/36.
Step 2: Simplify the left side of the equation.
x:9 is the same as x/9.
Now, let's rewrite the equation with these simplifications.
x/9 = 2/3 * 1/36
To solve for x, we need to isolate the variable. To do this, we can multiply both sides of the equation by 9, which will cancel out the denominator on the left side.
x/9 * 9 = 2/3 * 1/36 * 9
This simplifies to:
x = 2/3 * 1/4
Now, let's calculate the right side of the equation:
x = 2/3 * 1/4
x = 2/12
x = 1/6
Therefore, the correct answer is x = 1/6, which is approximately 0.1666.
The error in your calculation seems to be in step 3, where you simplified (2/3) * (9/1) / 36 to 6. Instead, the calculation should be (2/3) * (9/1) / 36 = 18/108 = 1/6.
I hope this clarifies the solution for you! Let me know if you have any further questions.