Question

Fill in the missing number.

Answer 1

$\text{ Let the missing number be x,}\\\\~~~~~~~~\dfrac {11}{x} - \dfrac 16 = \dfrac 34\\\\\\\implies \dfrac{66}x -1 = \dfrac{18}4~~~~~~;[\text{Multiply both sides by 6}]\\\\\\\implies \dfrac{66}x =\dfrac{18}4 +1\\\\\\\implies \dfrac{66}{ x } = \dfrac{22}4 \\\\\\\implies x = \dfrac{4\times 66}{22}\\\\\\\implies x = \dfrac{2 \times 66}{11} = 2 \times 6 = 12\\\\\\\text{Hence the missing number is 12.}$

Answer 2

Answer:

12 (11/12)

Step-by-step explanation:

To solve this question, we can add 1/6 to both sides to get:

11/? = 3/4 + 1/6

Next, we can find a common denominator for 4 and 6 (which would be 12):

3/4 = 9/12 (×3) and 1/6 = 2/12 (×2)

Now we can do 9/12 + 2/12 which is 11/12 (just add the numerators together).

Hope this helps!