Question

Evaluate x/y for x=2/3 and y=6/7.

Answer 1

The answer is 7/9. An easy way to solve it is by doing 2/3 x 7/6. Since 2/3 divided by 6/7 is the opposite of it.

Answer 2

So when you divide a fraction into a fraction, you use reciprocals!

1)
2/3 divided by 6/7 becomes 2/3 times 7/6 (ALWAYS flip the second fraction)

2) Just multiply right across!

2 7 14
-- times ------- = -------
3 6 18

3) Simplify fraction!

14
---- DIVIDE BY 2--> 7/9
18

4) Final answer: 7/9