-5/12
Explanation:
Step 1: Eliminating a negative and changing our operation
−2 1/6 + 1 3/4
Step 2: Rewriting our equation with parts separated
-2 − 1/6 + 1 + 3/4
Step 3: Solving the whole number parts
−2 + 1 = −1
Step 4: Solving the fraction parts
−1/6 + 3/4 = ?
Step 5: Find the LCD of 1/6 and 3/4 and rewrite to solve with the equivalent fractions.
LCD = 12
−2/12 + 9/12 = 7/12
Step 6: Combining the whole and fraction parts
−1 + 7/12 = −5/12