Question

Compare the numbers `(-7)/3 and (-5)/2`.

Answer 1

Let us first compare `7/3 and 5/2`.

`7/3 = (7 xx 2)/(3 xx 2) = 14/6`,

`5/2 = (5 xx 3)/(2 xx 3) = 15/6`

`14/6 < 15/6`

∴ `7/3 < 5/2`

∴ `(-7)/3 < (-5)/2`.