Question

1.) 8/1 - 1 and 11/16
2.) 1 and 3/5 + 1 and 1/4
3.) 5 and 1/4 - 1 and 1/8

Answer 1

`\frac{8}1-1(11)/(16)=(8-1)-(11)/(16)=6(16-11)/(16)=\boxed{6(5)/(16)}`


`1\frac{3}5+1\frac{1}4=(1+1)+\frac{3}5+\frac{1}4=2+(3\cdot4+5)/(4\cdot5)=\boxed{2(17)/(20)}`


`5\frac{1}4-1\frac{1}8=(5-1)+(\frac{1}4-\frac{1}8)=4+(2-1)/(8)=\boxed{4\frac{1}8}`

Answer 2

`^(16))8-1(11)/(16)= (128)/(16)- (1\cdot16+11)/(16)= (128-27)/(16)=\bold{ (101)/(16)} \\ \\ 1 (3)/(5)+1 (1)/(4)=^(4))(1\cdot5+3)/(5) +^(5))(1\cdot4+1)/(4)= (32)/(20)+ (25)/(20)=\bold{ (57)/(20)} \\ \\ 5 (1)/(4)-1 (1)/(8)=^(4))(5\cdot4+1)/(4) -^(2))(1\cdot8+1)/(8)= (84)/(16)- (18)/(16)= (66)/(16)^((2)=\bold{ (33)/(8) }`