Perform the indicated operations.

1. $-3\frac{2}{9}+\ 8\frac{7}{9}$ 

• Answer (a):

  $5\frac{5}{9}$

2. $-7\frac{2}{7}-4\frac{1}{5}$ 

• Hint (b):

  Common Denominators are necessary before adding or subtracting fractions.

  Answer (b):

  $-11\frac{17}{35}$

3. $1\frac{5}{7}\ \cdot\ 3\frac{6}{7}$ 

• Answer (c):

  $6\frac{30}{49}$

4. $-8\frac{1}{7}\div-5\frac{5}{9}$ 

   Step (1):

   Convert each fraction into an improper fraction.

   Step (2):

   Multiply by the reciprocal of the divisor.

   Step (3):

   Multiply numerators. Then multiply denominators. Simplify.

   Answer (d):

   Convert to a mixed number.

   $\frac{-57}{7}\div \frac{-50}{9}$

   $\frac{-57}{7}\cdot \frac{9}{-50}$

   $\frac{513}{350}$

   $1\frac{163}{350}$