Answer: No, the cook "dose" not. The cook needs 1/12 more cups of flour.
Step-by-step explanation: First, we should find a common denominator for 2 2/3 and 2 3/4. We can also ignore the 2 in front of both fractions, as this will not matter since 2 is present in both fractions as a whole number.
The LCM of 3 and 4 is 12 (3*4 = 12)
Let us start with the first fraction, 2 2/3.
12/3 = 4
We need to multiply 2 by 4.
2*4 = 8
Therefore, 2 2/3 is equivalent to 2 8/12.
Now for the second fraction, 2 3/4:
12/4 = 3
We need to multiply 3 by 3.
3*3 = 9
Therefore, 2 3/4 is equivalent to 2 9/12.
2 8/12 < 2 9/12
Therefore, the cook does not have enough flour.
To find how much more flour is needed, all we have to do is subtract 8/12 from 9/12 (ignoring the 2s)
Since the denominator is the same, we can change this to just
9 - 8
Obviously, 9 - 8 = 1.
Therefore, the cook needs 1/12 more cups of flour.