Simplify.​​​​​​​

Question

7 2/3+−5 1/4

A -2
B 2 5/12
C 2 11 / 12
D 12 11/12

Answer 1

To simplify 7 2/3 + -5 1/4, we can first convert the mixed numbers to improper fractions.

7 2/3 = (7*3 + 2)/3 = 23/3
-5 1/4 = (-5*4 + 1)/4 = -19/4

Now we can add the fractions:

23/3 + (-19/4)

To add fractions, we need a common denominator, which in this case is 3*4 = 12.

23/3 + (-19/4) = (23*4)/(3*4) + (-19*3)/(4*3)
= 92/12 - 57/12

Now we subtract the fractions:

92/12 - 57/12 = (92 - 57)/12
= 35/12

Therefore, the simplified form of 7 2/3 + -5 1/4 is 35/12.

Converting it back to a mixed number, we have:

35/12 = 2 11/12

Therefore, the answer is C) 2 11/12.