Question

what rational number will be added to -7/8 to get 6/9​

Answer 1

Answer:

37/24

Step-by-step explanation:

Let the number added be x.

Now,

-7/8+x = 6/9

x = 6/9+7/8 = 48+63/72 = 37/24 .

so , the number added will be 37 / 24 .

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Answer 2

Answer:

▪︎Question -:

What rational number should be added to $\frac{-7}{8}$ to get $\frac{6}{9}$

▪︎Taken -:

Let the another number be x .

So , the equation will be like this -:

$\boxed{x+\frac{-7}{8}=\frac{6}{9}}$

▪︎Concept -:

Just find the value of x to find the other number which should be added .

▪︎Calculation -:

$\implies{x+\frac{-7}{8}=\frac{6}{9}}$

$\implies{x=\frac{6}{9}+\frac{7}{8}}$

(L.C.M of 9 and 8 is 72)

$\implies{x=\frac{48+63}{72}}$

$\implies{x=\frac{111}{72}}$

▪︎Verification -:

Just add $\frac{-7}{8}$ to $\frac{111}{72}$ to verify the answer .

$\implies{\frac{-7}{8}+\frac{111}{72}}$

(L.C.M of 8 and 72 is 72)

$\implies{\frac{-63+111}{72}}$

$\implies{\frac{48}{72}=\frac{6}{9}}$

Hence , the answer is verified .

▪︎Answer -:

So , the number which should be added is $\frac{111}{72}$ .