Question

(a) Express as Rational number of the form p/q [6/7+1+(-7/9)+19/21+(-12/7)]÷17/63
(b) What should be added to (1/2+1/3+1/6) to get 6 ?



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Answer 1

Step-by-step explanation:

(a)

Given:-

[6/7+1+(-7/9)+19/21+(-12/7)]÷17/63

To find:-

Express as Rational number of the form p/q.

Solution:-

Given that:-

[6/7+1+(-7/9)+19/21+(-12/7)]÷17/63

LCM of 7,9,21,7 is 63

=>[{(6×9)+63+(-7×7)+(19×3)}/63]÷(17/63)

=>[(54+63-49+57)/63]÷(17/63)

=>(125/63)÷(17/63)

=>(125/63)×(63/17)

=>125/17

Answer:-

[6/7+1+(-7/9)+19/21+(-12/7)]÷17/63 = 125/17

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(b)

Given :-

(1/2+1/3+1/6)

To find:-

What should be added to (1/2+1/3+1/6) to get 6 ?

Solution:-

Let the number should be added to (1/2+1/3+1/6) be X

According to the given problem

(1/2+1/3+1/6) +X = 6

LCM of 2,3,6 is 6

=>[3+2+1]/6 +X =6

=>(6/6)+ X =6

=>1+X=6

=>X=6-1

=>X=5

Answer:-

The required number is to be added is 5

Check:-

LHS:-

(1/2+1/3+1/6)+5

=>(3+2+1)/6 +5

=>(6/6)+5

=>1+5

=>6

=>RHS

LHS=RHS is true for the number 5

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Answer 2

Answer:

his

Step-by-step explanation: