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Worksheet: Comparing and Ordering Fractions

Q1:

A school conducted a survey to find out how students usually travel to school. The results are shown in the table.

Mode of Transport Walk School bus Travel with parents Travel with friends
Fraction of Students 5 1 6 1 3 3 2 1 8 5 3 2

Which is the most popular mode of transport?

  • A Travel with parents
  • B Walk
  • C Travel with friends
  • D School bus

Q2:

Given that Natalie spends 1 3 of her salary to commute to work and 3 8 of her salary to buy food, determine whether she spends more money on transportation or food.

  • Afood
  • Btransportation

Q3:

What fraction of figure (a) is shaded? What fraction of figure (b) is shaded? Which figure has a greater fraction shaded?

  • A 1 2 1 3 , 1 1 1 4 , (a)
  • B 1 3 1 2 , 1 4 1 1 , (b)
  • C 2 5 1 2 , 2 5 1 1 , (b)
  • D 1 2 2 5 , 1 1 2 5 , (a)
  • E 1 3 2 5 , 1 4 2 5 , (a)

Q4:

Which of 1 1 1 3 , 1 5 1 3 , 2 1 3 , 1 7 1 3 is the greatest?

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

Q5:

Which of 1 9 1 7 , 4 1 7 , 5 1 7 , 8 1 7 is the greatest?

  • A 8 1 7
  • B 5 1 7
  • C 4 1 7
  • D 1 9 1 7

Q6:

Which fraction equals 1 1 2 and has a denominator less than 48?

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

Q7:

Which fraction equals 2 4 and has a denominator less than 40?

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

Q8:

1 6 > .

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

Q9:

Which of 1 1 1 9 , 1 8 1 9 , 8 1 9 , 2 1 9 is the greatest?

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

Q10:

7 1 2 < .

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

Q11:

Given that π‘Ž > 𝑏 > 0 , complete the following using < , = , or > : 1 π‘Ž 1 𝑏 .

  • A >
  • B =
  • C <

Q12:

What fraction equals 4 5 9 9 and has a numerator between 4 and 8?

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

Q13:

What fraction equals 5 4 8 1 and has a numerator between 5 and 9?

  • A 1 2 1 8
  • B 8 1 1
  • C 5 6
  • D 6 9

Q14:

Sixteen out of 30 students in class A like to swim, and 16 out of 37 students in class B like to swim. Determine which class has a greater fraction of students who like to swim.

  • Aclass A
  • Bclass B

Q15:

Nine out of 23 students in class A like to swim, and 9 out of 33 students in class B like to swim. Determine which class has a greater fraction of students who like to swim.

  • Aclass A
  • Bclass B

Q16:

Complete 1 2 1 3 using < or > .

  • A >
  • B <

Q17:

Complete the following using < , = , or > : the shaded part 1 2 .

  • A >
  • B =
  • C <

Q18:

Which of 1 1 4 , 1 5 , 1 2 0 , 1 4 is the greatest?

  • A 1 5
  • B 1 1 4
  • C 1 2 0
  • D 1 4

Q19:

The table shows the fraction of Internet users that have done each activity online. Which activity was reported most often?

Activity Searching for information Checking the weather Downloading music Writing or reading a blog
Fraction of Internet Users 9 1 0 9 2 5 1 4 1 9 2 5
  • A checking the weather
  • B downloading music
  • C writing or reading a blog
  • D searching for information

Q20:

A group of people were asked what their favorite sport was. Given that 1 1 2 of the people picked football, 3 4 of the people picked baseball, and 1 1 6 of the people picked basketball, determine which sport is favored by the greatest number of people.

  • Abasketball
  • Bfootball
  • Cbaseball