Question

If x=3/4,y=2/5 and z=-5/7,verify that :x+(y+z)=(x+y)+z

Answer 1

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x = 3/4

y=2/5

z= -5/7

To Verify:-

x+(y+z)=(x+y)+z

3/4+[2/5+(-5/7)]= (3/4+2/5)+(-5/7)

3/4+[2×7+(-5×5)/35]= (3×5+2×4/20)-5/7

3/4 + [14+(-25)/35]= (15+8/20)-5/7

3/4 + (14-25/35)= 23/20-5/7

3/4+(-11/35)=23×7+(-5×20)/140

3/4-11/35 = 161+(-100)/140

3×35-11×4/140 = 61/140

105-44/140 = 61/140

61/140 = 61/140

Hence verified ✔️✔️