Worksheet: Applying the Properties of Division When Dividing Rational Numbers

In this worksheet, we will practice dividing positive and negative fractions and mixed numbers in given numerical or algebraic expressions.

Q1:

Calculate 23÷34. Give your answer in its simplest form.

  • A 1 2
  • B1
  • C 8 9
  • D 1 1 8
  • E 5 7

Q2:

Calculate 135÷45÷578. Give your answer in its simplest form.

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

Q3:

Which of the following division expressions has a quotient of 113?

  • A 4 2 3 ÷ 3 1 2
  • B 8 1 4 ÷ 9 6 7
  • C 6 5 9 ÷ 2 8 9
  • D 9 3 5 ÷ 2 1 6
  • E 9 2 7 ÷ 3 4 5

Q4:

Which of the following numbers gives a result less than 12 when divided by 12?

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

Q5:

David cuts 112melons into portions, each of which is 38 of a whole melon. How many portions does he get?

Q6:

Evaluate 6÷38 giving the answer in its simplest form.

  • A 9 8
  • B 1 4
  • C 1 6
  • D 4
  • E 1 1 6

Q7:

Evaluate 52÷23.

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

Q8:

Evaluate 53÷7 giving the answer in its simplest form.

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

Q9:

Calculate 34÷78. Give your answer in its simplest form.

  • A 2 1 3 2
  • B1
  • C 6 7
  • D 1 1 6
  • E 5 6

Q10:

Calculate 112÷34. Give your answer in its simplest form.

  • A 1 1 6
  • B 1 3
  • C 1 9
  • D9
  • E 1 4

Q11:

Calculate 49÷79. Give your answer in its simplest form.

  • A 2 8 8 1
  • B 1 3 1 6
  • C 4 7
  • D 1 3 4
  • E 1 1 1 8

Q12:

Calculate 25÷47. Give your answer in its simplest form.

  • A 8 3 5
  • B1
  • C 7 1 0
  • D 1 3 7
  • E 1 2

Q13:

Calculate 23÷13÷110. Give your answer in its simplest form.

  • A 1 4 5
  • B20
  • C 1 5
  • D 2 2 9

Q14:

Calculate 617÷47÷1017. Give your answer in its simplest form.

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

Q15:

Calculate 524÷37÷18. Give your answer in its simplest form.

  • A 5 4 4 8
  • B 3 8 9
  • C 3 5 5 7 6
  • D 5 7

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