need help with word problem?
half add it
Find a number such that when added to numerator and denominator of 2/11 yields a fraction equivalent to 1/2?
thanks for any help
(x+2)/(x+11) = 1/2
x is the number you want.
Now do the algebra.
I will be happy to check your work.
thank you
Sure! Let's solve the given equation step by step.
We are given that adding a number, let's call it x, to the numerator and denominator of 2/11 yields a fraction equivalent to 1/2. So, we have the equation:
(x + 2) / (x + 11) = 1/2
To solve this equation, we can cross-multiply. That means multiplying the numerator of the left side with the denominator of the right side, and vice versa. So, we have:
2(x + 2) = 1(x + 11)
Now, let's simplify both sides:
2x + 4 = x + 11
Next, let's isolate the x term. We can do this by subtracting x from both sides:
2x - x + 4 = x - x + 11
Simplifying further, we have:
x + 4 = 11
To isolate the x term, we subtract 4 from both sides:
x + 4 - 4 = 11 - 4
This simplifies to:
x = 7
So, the number you're looking for is x = 7.
To check our answer, we can substitute x = 7 back into the original equation:
(7 + 2) / (7 + 11) = 1/2
9/18 = 1/2
Both sides of the equation simplify to 1/2. Therefore, our answer is correct.
Please let me know if there is anything else I can help you with!