b, `-18/25` + `-2014/2015` + `7/8` + `9/8` + `-32/25`
c, `-7/18` + `4/9` – `-5/12`
d, `-9/13`+ `1/7` + `-1/2015` + `13/7` + `-17/13`
b, `-18/25` + `-2014/2015` + `7/8` + `9/8` + `-32/25` c, `-7/18` + `4/9` – `-5/12` d, `-9/13`+ `1/7` + `-1/2015` + `13/7` + `-17/13`
By Emery
$b)$
`-18/25 – 2014/2015 + 7/8 + 9/8 – 32/25`
`= (-18/25 – 32/25) + (7/8 + 9/8) – 2014/2015`
`= -2 + 2 – 2014/2015`
`= -2014/2015`
$c)$
`-17/18 + 4/9 – {-5}/12`
`= -34/36 + 16/36 + 15/12`
`=-6/12`
`= -1/2`
$d)$
`-9/13 + 1/7 – 1/2015 + 13/7 – 17/13`
`= (-9/13 – 17/13) + (1/7 + 13/7) – 1/2015`
`= -2 + 2 – 1/2015`
`= -1/2015`
`b, (-18)/25 + (-2014)/2015 + 7/8 + 9/8 + (-32)/25`
`= ((-18)/25 + (-32)/25) + (-2014)/2015 + (7/8 + 9/8)`
`= -2 + (-2014)/2015 + 2`
`= (-2014)/2015`
`c, -7/18 + 4/9 – (-5)/12`
`= 1/18 + 5/12`
`= 17/36`
`d, (-9)/13 + 1/7 + (-1)/2015 + 13/7 + (-17)/13`
`= ((-9)/13 + (-17)/13) + (1/7 + 13/7) + (-1)/2015`
`= -2 + 2 + (-1)/2015`
`= (-1)/2015`