Question

please solve this all problems by step by step ​

Answer 1

Answer:

5. 1/5 = 0.2 means the increased rational number is (3.78 + 0.2) = 3.98

Now, 2(1/4) = 0.5

So, the new rational number is (3.98 - 0.5) = 3.48

6. Let, the other rational number is x.

According to question

x : 0.2 = - 3/50

Or, x/0.2 = - 3/50

Or, x = - (3/50)*0.2

So, x = - 0.012

8.1.

L. H. S. = 6/13 +1/3

= 18 + 13 / 39

(by 39/13*6, in same process 39/3*1) / ( by using LCM process)

= 31/39

= R. H. S.

So, L. H. S. = R. H. S. (proved)

8.2.

L. H. S. = ( - 7/9) + ((1/3) + ( - 1/6))

= ( - 7/9) + ( 1/3 - 1/6)

= ( - 7/9) + ( 2 - 1 /6) (by using same process which applied in 8. 1.)

= ( - 7/9) + 1/6

= ( - 14 + 3) /18 ( by using same process)

= - 11/18

R. H. S. = ( - 1/6) + ((1/3) + ( - 7/9))

= ( - 1/6) + ( 1/3 - 7/9)

= ( - 1/6) + ( 3 - 7 /9) (by using same process)

= ( - 1/6) + ( - 4/9)

= ( - 3) + ( - 8) /18 (by using same process)

= - 11/18

So, L. H. S. = R. H. S. (proved)

Answer 2

Answer:

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Step-by-step explanation:

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