Question

Compute each sum or differences
11/12 - 2/3

Answer 1

`1/4\\`

Step-by-step explanation:

To subtract 2/3 from 11/12, we need to find a common denominator for the two fractions. The least common multiple (LCM) of 3 and 12 is 12. We can rewrite each fraction with a denominator of 12:

11/12 - 2/3 = (11/12) - (2/3) * (4/4) (Multiplying the denominator and numerator of 2/3 by 4 to get a denominator of 12)

11/12 - 8/12 = 3/12

Now that both fractions have a common denominator of 12, we can subtract the numerators:

11/12 - 2/3 = (11 - 8)/12 = 3/12

Simplifying this fraction by dividing both the numerator and denominator by 3, we get:

3/12 = 1/4

Therefore, 11/12 - 2/3 = 1/4.