ok when there are to fractions and one variable what do u do ?
Let's begin by writing out our equation as you typed it in (3 divided by 2b = 14 and 1/2):
3/2b = 14 1/2
First, we want to convert the mixed number 14 1/2 to an improper fraction:
(whole number x denominator + numerator) / denominator
(14 x 2 + 1) / 2 = (28 + 1) / 2 = 29 / 2
Now our equation becomes: 3/2b = 29/2
Our equation is actually a proportion (2 equal ratios or fractions).
In a proportion the cross products of the proportion (numerator x denominator diagonally across the equal sign in both directions) are equal:
(3)(2) = (29)(2b)
Now we can simplify both sides of the equation by doing the multiplication on each side:
6 = 29b
Lastly, we can find b by dividing both sides of the equation by 29, which will cancel out the multiplication by 29 on the right side of the equation:
6/29 = 29b/29
After the division by 29 on both sides of tbe equation, we arrive at our answer:
b = 6/29
I trust the above stepwise explanation will clarify the solution for you.
Thanks for submitting your question.