Question

`14 (2)/(7) - 5 (2)/(3)`

Answer 1

To transform a mixed number to an improper fraction, we must multiply the denominator by the large number, and add the numerator.

So for
`14(2)/(7)`:
`(14*7)+2=100`

But we also put this over the denominator in the mixed number, so we get:
`(100)/(7)`.

Then we do the same for
`5(2)/(3)`:

`(5*3)+2=(17)/(3)`

Then we must find a common denominator. Let's use 21 (multiply 3 and 7):

`(100)/(7) *(3)/(3)= (300)/(21)`

`(17)/(3)* (7)/(7) =(119)/(21)`

Now that we have a common denominator, we can subtract across:

`(300)/(21) -(119)/(21)= (181)/(21)`

Since
`(181)/(21)` cannot be reduced any further, we are going to leave this as our answer.

So the answer is
`(181)/(21)`.