Question

2.
Verify the following:
1) (2/3+7/2)+3/4=2/3+(7/2+3/4)
2)2/5+7/2=7/2+2/5
3)(2/3×7/4)=(7/4×2/3)
4)(2/5×3/7)×1/5=2/5×(3/7×1/2)​

Answer 1

Answer:

I hope it helps you please mark at brainlist answer

Step-by-step explanation:

Associative property

(a+b)+c=a+(b+c)

or (a×b)×c=a×(b×c)

Distributive property

a×(b+c)=a×b+a×c

Commutative property

a+b=b+a

or a×b=b×a

so the given equation follows:

a×(b+c)=a×b+a×c

a=−

2

3

b=

4

5

c=−

6

7

Answer 2

Step-by-step explanation:

1) (2/3+7/2)+3/4=2/3+(7/2+3/4)

Associative property under addition

L.C.M of 3 and 2

and L.C.M of 2 and 4

(4/6+21/6)+3/4=2/3 (14/4+3/4)

25/6+3/4=2/3+17/4

L.C.M of 6 and 4

L.C.M of 3 and 4

50/12+9/12=8/12+51/12

59/12=59/12

L.H.S=R.H.S

2)2/5+7/2=7/2+2/5

4/10+35/10=35/10+4/10

39/10=39/10

L.H.S=R.H.S

3)(2/3×7/4)=(7/4×2/3)

14/12=12/14

6/7=6/7

L.H.S =R.H.S

4)(2/5×3/7)×1/5=2/5×(3/7×1/2)

Assocative property under multiplication

6/35×1/5=2/5×3/14

6/175=6/175

L.H.S=R.H.S