ok when there are to fractions and one variable what do u do ?

Hi Grace,

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.

Regards, Jordan.

## Comments

Hi Grace,

Just realize a computation error in my original solution.

Beginning with step that shows equation: (3)(2) = (29)(2b)

Next step should be:

6 =

58b(correctmultiplication result for right side of equation).All remaining steps below are the same as explained in my original answer save the use of the correct multiplication result (58b instead of 29b):

6/58 = 58b/58 (division of both sides by 58 to cancel out multiplication by 58 on right side).

6/58 = b (division results for both sides of equation).

(6/2) / (58/2) = b (reduce fraction result for b by dividing both numerator and denominator by common factor of 2)

3/29 = b (reduced fraction result for b).

Sorry for the mishap.

Regards, Jordan.