11/12-blank/3=1/4

Answer 1

Let blank = x

The problem then becomes 11/12 - x/3 = 1/4

Move x/3 to the right, it changes sign to become positive

Move 1/4 to the left, it changes sign and becomes negative

11/12 - 1/4 = x/3

or x/3 = 11/12 - 1/4

or x/3 = (11 - 1 * 3) / 12 by using 12 as the greatest common multiple of the denominators 12 and 4

or x/3 = 8/12 (next multiply 3 on both sides)

or x = 8 * 3 / 12 = 24/12 = 2 (answer)

so blank = 2