Answer:
Therefore, the expression becomes:
7/1 - 2/6
Now, we need to find a common denominator for the fractions, which is 6:
7/1 - 2/6 = (76)/(16) - 2/6
= 42/6 - 2/6
= (42 - 2)/6
= 40/6
Finally, we can simplify the fraction:
40/6 = 20/3
So, the difference between 5 2/6 and -2 4/6 is 20/3.
Explanation:
First, let's subtract the whole numbers: 5 - (-2) = 5 + 2 = 7.
Next, let's subtract the fractions: 2/6 - 4/6 = (2 - 4)/6 = -2/6.
Combining the whole number and fraction results, we have:
7 - 2/6
Now, to simplify this result further, we can express 7 as a fraction with a common denominator of 6:
7 = 7/1