-3 1/6+5 3/4=

Answer 1

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

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

Now, find a common denominator, which in this case is 24. Multiply the numerator and denominator of -19/6 by 4, and the numerator and denominator of 23/4 by 6:

-19/6 = -76/24
23/4 = 138/24

Now, add the fractions:

-76/24 + 138/24 = 62/24

Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:

62/24 = 31/12

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