Worksheet: Adding Fractions with Unlike Denominators

In this worksheet, we will practice adding fractions with unlike denominators using various tools to solve real-world problems.

Q1:

Calculate 1 4 + 1 3 .

  • A 1 3
  • B 4 1 5
  • C 1 3 4
  • D 7 1 2

Q2:

Find the result of 1 1 5 + 1 2 + 4 5 giving the answer in its simplest form.

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

Q3:

Find the value of 𝑥 + 𝑧 given 𝑥 = 2 3 and 𝑧 = 1 2 .

  • A 1 6
  • B 6 7
  • C6
  • D 7 6

Q4:

Complete the following: 2 9 + = 2 3 .

  • A 1 3
  • B 5 9
  • C 2 3
  • D 4 9

Q5:

Calculate 1 6 + 5 8 + 1 2 . Give your answer as a mixed number.

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

Q6:

Use the table to find the fraction of the population that has either type O or type A blood.

Blood Type O A B AB
Fraction of Population 1 1 2 5 2 1 5 0 1 1 0 1 2 5
  • A 1 2 2 5
  • B 3 2 7 5
  • C 2 7 5 0
  • D 4 3 5 0
  • E 1 3 2 5

Q7:

Evaluate 7 1 8 + 4 1 5 + 1 9 giving the answer in its simplest form.

  • A 1 7 4 5
  • B 5 9 9 0
  • C 3 7 4 5
  • D 2 3 3 0

Q8:

Evaluate 1 3 + 1 3 + 2 1 7 giving the answer in its simplest form.

  • A 2 3 5 1
  • B 2 3
  • C 2 5 7 3 0 6
  • D 4 0 5 1

Q9:

Evaluate the expression 2 5 + 4 9 + 4 9 7 1 0 .

  • A 5 5
  • B 3 1 0
  • C 4 1 0
  • D 3 1 0

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