Question

what number should be subtracted from 3/4 -2/3 to get -1/6

Answer 1

Answer:

-3/12

Step-by-step explanation:

3/4-2/3=9/12-8/12=1/12

The required no.=(-1/6)-(1/12)

=-2/12-1/12=-3/12

Answer 2

$\sf \underline \red{Required \: Answer:}$

Let us consider a number as x to be subtracted from (3/4– 2/3) to get -1/6

So, (3/4 – 2/3) - x = -1/6

x = 3/4 – 2/3 + 1/6

Let us take LCM for 4 and 3 which is 12

x = (3×3 - 2×4)/12 + 1/6

= (9 - 8)/12 + 1/6

= 1/12 + 1/6

Let us take LCM for 12 and 6 which is 12

= (1×1 + 1×2)/12

= 3/12

Further we can divide by 3 we get,

3/12 = 1/4

∴ the required number is ¼

Thank you!

@itzshivani