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Adding Mixed Numbers with Like Denominators Worksheet

Part 1: True or False

  1. is the same as adding fractions with like denominators. (T/F)
  2. When adding mixed numbers with like denominators, we only need to add the whole numbers together and keep the fractions the same. (T/F)
  3. To add mixed numbers with like denominators, we first need to convert them to improper fractions. (T/F)
  4. When adding mixed numbers with like denominators, the denominator of the sum will be the same as the denominators of the mixed numbers being added. (T/F)

Part 2: Fill in the Blanks

  1. To add mixed numbers with like denominators, we add the of the mixed numbers and then add the of the fractions.
  2. In order to add mixed numbers with unlike denominators, we need to find a ___ denominator.
  3. When adding mixed numbers with like denominators, the denominator of the sum will be the same as the ___ of the mixed numbers being added.
  4. To convert a mixed number to an improper fraction, we ___ the whole number by the denominator and then add the numerator.

Part 3: Calculation

Show your work for the following problems.

  1. 2 1/4 + 3 3/4 =
  2. 1 2/3 + 2 1/3 =
  3. 4 5/6 + 2 1/6 =
  4. 5 3/8 + 2 5/8 =
  5. 3 7/9 + 1 2/9 =

Part 4: Word Problems

  1. A pizza restaurant sold 2 1/2 pizzas on Monday and 4 3/4 pizzas on Tuesday. How many pizzas were sold in total?
  2. A runner ran 1 1/2 miles on Monday and 2 3/4 miles on Tuesday. How many miles did the runner run in total?
  3. A recipe calls for 2 1/4 cups of flour and 3/4 cups of sugar. How many cups of ingredients are needed in total?
  4. A student read 1 2/3 chapters of a book on Monday and 2 1/3 chapters on Tuesday. How many chapters did the student read in total?
  5. A store sold 3 5/8 pounds of apples on Monday and 2 2/8 pounds of apples on Tuesday. How many pounds of apples were sold in total?

Part 5: Challenge

  1. 7 1/3 + 4 5/9 =
  2. 10 7/8 + 6 1/4 =
  3. 12 2/5 + 8 1/5 =
  4. 15 4/7 + 3 6/7 =
  5. 9 3/11 + 6 2/11 =

End of Worksheet