Question

(6^-1+3^-1)×{5/6}^-1​

Answer 1

Answer:

LCM of 3,6,9=18

Now let us change each of the given fraction into an equivalent fraction having 18 as the denominator.

(2/3)x(6/6)=(12/18)

and (5/6)x(3/3)=(15/18)

and (1/9)x(2/2)=(2/18)

Now,

=(12/18)+(15/18)−(2/18)

=(12+15−2)/18

=(27−2)/18

=(25/18)

=[1(7/18)]

Answer 2

Answer:

3/5

Step-by-step explanation:

6^-1 and 3^-1 is 1/6 and 1/3 respectively. 5/6^-1 is 6/5 by the the property of exponents that if a^-n is 1/a for fraction numerator becomes denominator and denominator becomes numerator . Now 1/6 + 1/3 is 1/2 and 1/2 × 6/5 is 3/5.