Solving Fraction Equations:Multiplication and Division?

Question

I Really Need To Know How To Do This Kind Of Math.

(Example)

2 6/7 = 1/3

How is this done, and what is the answer?

Also (Example) I Need To Know How To Do This

D divided by 2 1/8 +2 1/3

Please provide answer

And simple explanation on how to do it.

Answer 1

For the second question

(Assuming that the point for this question is to find what D equals.)

D divided by 2 1/8 = 2 1/3

Make the 2 1/8 an improper fraction.

2 1/8 = 17/8

D divided by 17/8 = 2 1/3

        

You have to get rid of the denominator on the left side because you have to get D alone.

To get rid of the denominator, multiply both sides by 17/8 (or 17/8 over 1, which would still be 17/8.)

17/8 over 1 x D over 17/8 = 2 1/3 x 17/8

The answer will be

D = 119/24

or

D = 4.9583

Hope this helps!

Answer 2

You need to convert any mixed numbers into improper fractions, so 2 and 6/7 needs to be changed to 20/7.

The rule for dividing fractions is that you flip the second fraction and multiply it. So now your question is (20/7) * (3/1)=60/7=8 4/7

Despite your additions, I still can't really understand your second question.