Question

Fill in the missing number.

Answer 1

12 (11/12)

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!

Answer 2

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