solve the proportion:
5/2=22/24w
the answer is 11/30 but I don't understand how you get that.
5/2=22/24w
Cross multiply.
120w = 44
w = 44/120
w = 0.3667 = 11/30
Okay, thanks!
You're welcome.
To solve the proportion 5/2 = 22/24w, we need to isolate the variable w.
First, we can simplify the ratio on the right-hand side of the equation. The fraction 22/24 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 2.
22 ÷ 2 = 11
24 ÷ 2 = 12
So, 22/24 is equivalent to 11/12.
Now, our equation becomes:
5/2 = 11/12w
To isolate the variable w, we can cross-multiply. This means multiplying the numerator of the left-hand side fraction by the denominator of the right-hand side fraction, and vice versa. This gives us:
(5)(12w) = (2)(11)
Simplifying both sides of the equation gives:
60w = 22
Finally, to solve for w, divide both sides of the equation by 60:
w = 22/60
Now we can simplify the fraction 22/60 by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
22 ÷ 2 = 11
60 ÷ 2 = 30
So, w = 11/30.