Worksheet: Ordering Fractions with Unlike Denominators

In this worksheet, we will practice ordering fractions with unlike denominators and using this to solve problems in the real world.

Q1:

Arrange 6 7 , 1 1 2 , 5 1 1 in ascending order.

  • A 5 1 1 , 6 7 , 1 1 2
  • B 6 7 , 5 1 1 , 1 1 2
  • C 5 1 1 , 1 1 2 , 6 7
  • D 1 1 2 , 5 1 1 , 6 7
  • E 6 7 , 1 1 2 , 5 1 1

Q2:

Arrange 7 1 0 , 6 4 , 4 5 , 5 2 in ascending order.

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

Q3:

Find the fraction of each circle that is shaded. Arrange these fractions in ascending order.

  • A 4 9 , 2 7 , 5 6
  • B 3 8 , 5 1 0 , 6 7
  • C 6 7 , 5 1 0 , 3 8
  • D 2 7 , 4 9 , 5 6

Q4:

Arrange 1 7 1 8 , 7 9 , 1 3 1 8 , 5 6 in ascending order.

  • A 5 6 , 7 9 , 1 7 1 8 , 1 3 1 8
  • B 7 9 , 5 6 , 1 7 1 8 , 1 3 1 8
  • C 1 7 1 8 , 7 9 , 5 6 , 1 3 1 8
  • D 1 3 1 8 , 7 9 , 5 6 , 1 7 1 8

Q5:

Arrange 1 5 1 9 , 3 1 7 , 3 1 0 , 5 7 in descending order.

  • A 5 7 , 3 1 0 , 1 5 1 9 , 3 1 7
  • B 3 1 0 , 5 7 , 1 5 1 9 , 3 1 7
  • C 1 5 1 9 , 3 1 0 , 5 7 , 3 1 7
  • D 1 5 1 9 , 5 7 , 3 1 0 , 3 1 7

Q6:

Arrange 1 1 3 0 , 2 3 3 0 , 1 1 0 , 1 6 , 2 3 in ascending order.

  • A 1 1 0 , 1 1 3 0 , 1 6 , 2 3 , 2 3 3 0
  • B 2 3 3 0 , 2 3 , 1 1 3 0 , 1 6 , 1 1 0
  • C 1 1 0 , 1 6 , 2 3 , 1 1 3 0 , 2 3 3 0
  • D 1 1 0 , 1 6 , 1 1 3 0 , 2 3 , 2 3 3 0
  • E 1 1 0 , 1 6 , 1 1 3 0 , 2 3 3 0 , 2 3

Q7:

Arrange 1 3 3 6 , 7 3 6 , 5 6 , 2 3 , 5 1 8 in descending order.

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

Q8:

A red gumball is 4 9 inches across. A green gumball is 1 3 inches across, and a blue gumball is 1 2 inches across. List the gumballs in order from smallest to largest.

  • Ablue, green, red
  • Bblue, red, green
  • Cgreen, blue, red
  • Dgreen, red, blue
  • Ered, green, blue

Q9:

The world’s five largest deserts are shown in the table. Order their areas from smallest to largest.

Desert Sahara Kalahari Gobi Antarctica Arabian
Area (Millions of Square Miles) 7 2 9 2 5 1 2 1 1 2 9 1 0
  • A 9 2 5 , 1 2 , 1 1 2 , 7 2 , 9 1 0
  • B 1 1 2 , 7 2 , 9 1 0 , 1 2 , 9 2 5
  • C 9 2 5 , 1 2 , 7 2 , 9 1 0 , 1 1 2
  • D 9 2 5 , 1 2 , 9 1 0 , 7 2 , 1 1 2
  • E 1 2 , 9 2 5 , 9 1 0 , 7 2 , 1 1 2

Q10:

Arrange 1 6 , 1 5 , 1 7 , 1 1 0 in descending order.

  • A 1 1 0 , 1 6 , 1 7 , 1 5
  • B 1 1 0 , 1 7 , 1 6 , 1 5
  • C 1 5 , 1 7 , 1 6 , 1 1 0
  • D 1 5 , 1 6 , 1 7 , 1 1 0

Q11:

Which of 1 2 , 1 3 , 3 8 , 8 9 is the smallest?

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

Q12:

Without doing any calculations, decide which expression has the highest value.

  • A 1 9 × ( 1 1 5 + 7 0 9 )
  • B 1 4 × ( 1 1 5 + 7 0 9 )
  • C 1 1 0 × ( 1 1 5 + 7 0 9 )
  • D 1 2 × ( 1 1 5 + 7 0 9 )
  • E 1 5 × ( 1 1 5 + 7 0 9 )

Q13:

Arrange 1 5 2 , 5 1 3 , 1 0 4 , 7 1 4 in ascending order.

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

Q14:

Arrange 7 2 0 , 1 9 2 0 , 1 4 , 1 2 5 , 3 2 in ascending order.

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

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