Question

3. Verify that a+(b+c)=(a+b)+c by taking a=1/2,b=3/4 and c=-2/3. ​

Answer 1

Answer:

        L.H.S.=a+(b+c) =$\frac{1}{2}+(\frac{3}{4}+\frac{-2}{3} )$

                    = $\frac{1}{2}+(\frac{9-8}{12} )$

                    =$\frac{1}{2}+\frac{1}{12}$

                    = $\frac{6+1}{12}$

                    =$\frac{7}{12}$

            RHS= (a+b)+c=$(\frac{1}{2}+\frac{3}{4})+\frac{-2}{3}$

                                = $(\frac{2+3}{4})+\frac{-2}{3}$

                                = $\frac{5}{4}+\frac{-2}{3}$

                                = $\frac{15-8}{12}$

                                = $\frac{7}{12}$

Step-by-step explanation:

put language for betterment of answer

Answer 2

Answer: 7/12 is the answer

Step-by-step explanation:

(b+c) =3/4 + - 2/3

LCM of 4 and 3 is 12

3/4 × 3/3 = 9/12, -2/3 × 4/4 = -8/12

9/12 + -8/12 = 1/12

1/12 + a

1/12 + 1/2

LCM of 12 and 2 is 12

1/12 × 1 = 1/12, 1/2 × 6/6 = 6/12

1/12 + 6/12 = 7/12

(a+b) + c

1/2 + 3/4

LCM of 2 and 4 is

1/2 × 2/2 = 2/4, 3/4 × 1/1 = 3/4

2/4 + 3/4 = 5/4

5/4 + -2/3

LCM of 4 and 3 is 1=2

5/4 × 3/3 = 15/12, -2/3 × 4/4 = -8/12

15/12 + -8/12 = 7/12

therefore, both the ans is same

the ans is 7/12

thank you.