find $-\\frac{7}{8}-2\\frac{1}{6}$. write your answer as a mixed number in simplest form.

Explanation:

Step1: Convert mixed number to improper fraction

$6\frac{1}{2}=\frac{6\times2 + 1}{2}=\frac{13}{2}$

Step2: Find common denominator

The common denominator of 2 and 8 is 8. $\frac{13}{2}=\frac{13\times4}{2\times4}=\frac{52}{8}$

Step3: Perform subtraction

$-\frac{7}{8}-\frac{52}{8}=\frac{-7 - 52}{8}=\frac{-59}{8}$

Step4: Convert to mixed number

$\frac{-59}{8}=-7\frac{3}{8}$

Answer:

$-7\frac{3}{8}$