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Worksheet: Adding and Subtracting Fractions with Unlike Denominators

Q1:

Complete the following: 1 9 + = 2 3 .

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

Q2:

Complete the following: 2 9 + = 2 3 .

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

Q3:

Complete the following: 5 9 + = 2 3 .

  • A0
  • B 2 9
  • C 1 3
  • D 1 9

Q4:

Using the order of operations, calculate 7 8 1 2 1 3 giving the answer in its simplest form.

  • A 2 2 5
  • B 1 7 2 4
  • C 2 1 3
  • D 1 2 4
  • E 1 4 8

Q5:

Using the order of operations, calculate 2 3 1 1 4 5 1 2 giving the answer in its simplest form.

  • A 6 2 9
  • B 8 5 8 4
  • C 4 2 3
  • D 5 2 8
  • E 5 5 6

Q6:

Using the order of operations, calculate 2 3 1 6 1 7 giving the answer in its simplest form.

  • A 6 1 5
  • B 9 1 4
  • C 1 1 7
  • D 5 1 4
  • E 5 2 8

Q7:

Using the order of operations, calculate 2 3 2 9 2 5 giving the answer in its simplest form.

  • A 3 4 6
  • B 3 8 4 5
  • C 2 1 5
  • D 2 4 5
  • E 2 9 0

Q8:

Using the order of operations, calculate 2 3 7 1 5 1 8 giving the answer in its simplest form.

  • A 4 4 1
  • B 1 3 4 0
  • C 1 7
  • D 3 4 0
  • E 3 8 0

Q9:

Use the order of operations to evaluate 2 5 2 3 + 4 9 , expressing the answer in its simplest form.

  • A 9 4 6
  • B 1 6 4 5
  • C 1 6
  • D 8 4 5
  • E 3 2 4 5

Q10:

Use the order of operations to evaluate 1 1 5 1 5 + 4 9 , expressing the answer in its simplest form.

  • A 1 5 4 6
  • B 1 3 4 5
  • C 2 9
  • D 1 4 4 5
  • E 2 6 4 5

Q11:

Use the order of operations to evaluate 4 1 5 + 1 2 2 5 , expressing the answer in its simplest form.

  • A 1 2 3 1
  • B 1 9 6 0
  • C 5 1 6
  • D 1 1 3 0
  • E 1 9 3 0

Q12:

Use the order of operations to evaluate 1 1 1 4 + 6 7 3 4 , expressing the answer in its simplest form.

  • A 2 6 2 9
  • B 2 3 5 6
  • C 1 7 2 0
  • D 2 5 2 8
  • E 2 3 2 8

Q13:

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

  • A 1 6
  • B 6 7
  • C6
  • D 7 6

Q14:

Find the value of 𝑥 + 𝑦 given 𝑥 = 5 3 and 𝑦 = 7 8 .

  • A 1 9 2 4
  • B 2 4 6 1
  • C 2 4 1 9
  • D 6 1 2 4

Q15:

Find the value of 𝑥 + 𝑦 given 𝑥 = 9 4 and 𝑦 = 1 2 .

  • A 1 1 4
  • B 4 7
  • C 4 1 1
  • D 7 4

Q16:

Find the value of 𝑥 𝑦 + 𝑦 𝑧 given 𝑥 = 1 4 , 𝑦 = 4 3 ,and 𝑧 = 5 .

  • A 1 0 3
  • B 1 9 1 2
  • C 1 6 3
  • D 1 9 3

Q17:

Find the value of 𝑥 𝑦 + 𝑦 𝑧 given 𝑥 = 1 4 , 𝑦 = 6 5 ,and 𝑧 = 1 .

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

Q18:

Find the value of 𝑥 𝑦 + 𝑦 𝑧 given 𝑥 = 1 2 , 𝑦 = 7 6 ,and 𝑧 = 1 .

  • A 7 6
  • B 1 1 2
  • C 7 1 2
  • D 7 4

Q19:

Evaluate 𝑎 𝑏 𝑎 + 𝑏 given 𝑎 = 3 2 and 𝑏 = 2 3 . Give the answer in its simplest form.

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

Q20:

Evaluate 𝑎 𝑏 𝑎 + 𝑏 given 𝑎 = 7 1 2 and 𝑏 = 4 3 . Give the answer in its simplest form.

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