Worksheet: Adding Mixed Numbers with Unlike Denominators

In this worksheet, we will practice adding two mixed numbers with different denominators by finding common denominators of the fractions and writing the answer in simplest form.

Q1:

Evaluate 3 2 0 + 5 8 + 3 7 + 1 7 2 0 + 1 3 8 + 4 7 .

Q2:

Evaluate 3 6 7 + 2 3 giving the answer in its simplest form.

  • A 3 4 2 1
  • B 2 9 1 0
  • C 4 1 1 2 1
  • D 1 2 0 2 1
  • E 2 4 7

Q3:

One day, a flock of birds flew for 2 3 4 hours. The next day, they flew for 3 4 5 hours. How many hours did the birds fly for in total?

  • A 1 1 6 2 0 h
  • B 6 2 0 1 1 h
  • C 6 1 1 2 0 h
  • D 3 4 h
  • E 4 3 h

Q4:

Chloe watched a documentary on TV for 1 1 4 hours, a cooking show for 1 2 3 hours, and a movie for 1 1 5 hours. Find how many hours Chloe spent watching TV altogether.

  • A 4 7 6 0 h
  • B 5 7 6 0 h
  • C 7 6 0 h
  • D 2 9 2 0 h
  • E 2 1 1 1 2 h

Q5:

Calculate 3 4 9 + 4 6 7 .

  • A 8 1 9 6 3
  • B 9 1 9 6 3
  • C 1 6 3
  • D 1 2 6 3
  • E7

Q6:

Use the digits 1, 1, 2, 3, 4, and 6 to create two mixed numbers with a sum of 5 5 6 .

  • A 1 1 6 , 2 3 4
  • B 1 1 4 , 2 3 6
  • C 1 1 6 , 4 2 4
  • D 1 2 3 , 4 1 6
  • E 1 4 6 , 4 2 3

Q7:

Mason spent his free time watching TV and playing video games. If he spent 2 2 5 hours watching TV and 2 5 1 2 hours playing video games, how much free time did he have?

  • A 5 4 9 6 0 h
  • B 4 4 9 6 0 h
  • C 4 7 1 7 h
  • D 4 9 6 0 h
  • E 7 1 7 h

Q8:

Calculate 7 2 5 + 1 2 3 + 2 1 3 . Give your answer in its simplest form.

  • A 3 4 2 3
  • B 1 4 3 5
  • C 1 1 2 5
  • D 1 1 4 2 3

Q9:

Evaluate 2 + 1 4 1 3 giving the answer in its simplest form.

  • A 1 6
  • B 1 6 1 3
  • C 1 2 1 3
  • D 1 5
  • E 4 1 3

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