What is 11/18 − 1/3 ?(1 point)
Responses
5/18
15/54
10/18
5/9
To find 11/18 - 1/3, we need a common denominator. The least common multiple of 18 and 3 is 18.
So, we rewrite 11/18 as (11/18)(1/1) and 1/3 as (1/3)(6/6), which gives us (11/18)(6/6) - (1/3)(6/6).
Multiplying across, we get (11/18)(6/6) = 66/108 and (1/3)(6/6) = 6/18.
Now, we can subtract the fractions: (66/108) - (6/18).
Let's find a common denominator of 108 for both fractions:
(66/108) - (6/18) can be rewritten as (66/108) - (18/108).
Now, we can subtract the numerators: 66 - 18 = 48. The denominator remains 108.
Therefore, 11/18 - 1/3 = 48/108.
This fraction can be simplified. The greatest common divisor of 48 and 108 is 12. Dividing both the numerator and denominator by 12, we get:
48/108 = (48/12)/(108/12) = 4/9.
So, 11/18 - 1/3 = 4/9.
The correct response is 4/9.