Question

Pls answer these questions:
1. what no. should be added to -7/8 to get 4/9
2.The sum of two rational numbers is -1/2. If one is 5/6 tell the another number

Answer 1

Step-by-step explanation:

Solutions:-

1)

Let the number should be added be X

According to the given problem

(-7/8)+X = 4/9

=> X = (4/9)-(-7/8)

=> X = (4/9)+(7/8)

LCM of 9 and 8 = 72

=> X = [(4×8)+(7×9)]/72

=> X = (32+63)/72

=> X = 95/72

The required number = 95/72

Check:-

(-7/8)+(95/72)

=> [(-7×9)+95]/72

=> (-63+95)/72

=> 32/72

=> 4/9

Verified the given relation.

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2)

Given that

One of the numbers be 5/6

Let the other number be X

Their sum = (5/6)+X

According to the given problem

The sum of two ratioal numbers = -1/2

=> (5/6)+X = -1/2

=>X = (-1/2)-(5/6)

LCM of 2 and 6 = 6

=> X = [(-1×3)-(5×1)]/6

=>X = (-3-5)/6

=> X = -8/6

=> X = -4/3

The required number = -4/3

Check:-

(5/6)+(-4/3)

=> (5-8)/6

=> -3/6

=> -1/2

Verified the given relations in the given problem.