Question

How do you evaluate `\frac { 2} { 3} \times \frac { 5} { 8} \times \frac { 6} { 7}`?

Answer 1

`5/14`

Explanation:

By cancelling `3" & " 6`, `2" & " 4`,
`=cancel(2)/cancel(3)times5/(cancel(8)4)times(cancel(6)2)/7`

Cancelling `2" & "4`
`=1/1times5/(cancel(4)2)timescancel(2)/7`

Now, there is no number with any factor left.

Multiply the `color(red)("denominators"` with `color(red)("denominators"` and `color(blue)("numerators")` with `color(blue)("numerators")`:-
`=color(blue)(5)/color(red)(2times7)`

`=5/14`