Worksheet: Simplifying Complex Fractions

In this worksheet, we will practice using division to simplify complex fractions.

Q1:

How many eighths are there in 1 2 ?

Q2:

Which of the following is equal to 6 2 1 4 1 4 ?

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

Q3:

The perimeter of a square piece of papers is 1 1 3 m. What is the length of the piece of paper?

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

Q4:

A piece of land of area 2 9 4 7 feddans is divided equally between a number of farmers. Given that each farmer takes 1 2 2 1 feddans, how many farmers are there?

  • A 26 feddans
  • B 28 feddans
  • C 29 feddans
  • D 27 feddans

Q5:

Farida bought 3 5 8 gallons of ice cream to serve at her birthday party. If a pint is 1 8 of a gallon, how many pint-sized servings can be made?

Q6:

Find the number of books that can be placed on a shelf, given that each book has a thickness of 1 1 5 cm, and the shelf has a length of 2 2 5 cm.

Q7:

How many tenths are there in 1 2 ?

Q8:

Which of the following is equal to 2 5 2 3 2 3 ?

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

Q9:

Which of the following is equal to 2 5 1 4 1 2 ?

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

Q10:

Which of the following is equal to 1 3 1 2 1 2 ?

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

Q11:

A piece of land of area 2 5 5 1 1 feddans is divided equally between a number of farmers. Given that each farmer takes 1 3 1 1 feddans, how many farmers are there?

  • A 19 feddans
  • B 21 feddans
  • C 25 feddans
  • D 20 feddans

Q12:

Find the number of books that can be placed on a shelf, given that each book has a thickness of 1 1 2 cm, and the shelf has a length of 4 1 2 cm.

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