Question

1. 5 3/4+("-" 1/4)

2. "-" 2/3+1/6

3. "-" 8/5+("-" 3/4)

Answer 1

BELOW

Explanation:

1.

`5(3)/(4) +(-(1)/(4) )\\\\5(3)/(4)=(5*4+3)/(4)=(23)/(4)\\\\(23)/(4) +(-(1)/(4) )\\\\=(23)/(4)-(1)/(4)\\\\=(23-1)/(4)\\\\=(22)/(4)\\\\=5(1)/(2)`

2.

`-(2)/(3) +(1)/(6) \\\\L.C.M \:OF\:3,6\: =6\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-(4)/(6)+(1)/(6)\\\\=-(4)/(6)+(1)/(6)\\\\=(-3)/(6)\\\\=-(3)/(6)\\\\=-(1)/(2)`

3.

`-(8)/(5) +(-(3)/(4) )\\\\L.C.M \:OF\:5,4\: =20\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-(32)/(20)-(15)/(20)\\\\=(-32-15)/(20)\\\\=(-47)/(20)\\\\=-(47)/(20)\\\\=-2(7)/(20)`