Add -3 1/6+5 3/4

Answer 1

To add -3 1/6 and 5 3/4, we need to first convert the mixed numbers to improper fractions.

-3 1/6 = -19/6
5 3/4 = 23/4

Now, we can add the fractions:

-19/6 + 23/4

To add these fractions, we need to find a common denominator. The least common multiple of 6 and 4 is 12, so we can rewrite the fractions with a denominator of 12:

(-19/6) * (2/2) = -38/12
(23/4) * (3/3) = 69/12

Now, we can add the fractions:

-38/12 + 69/12 = 31/12

Therefore, -3 1/6 + 5 3/4 = 31/12.