Worksheet: Comparing Proper Fractions

In this worksheet, we will practice comparing between fractions using the common denominator strategy and how to compare the numerators of equivalent fractions.

Q1:

Complete 179 using <, = or >.

  • A<
  • B=
  • C>

Q2:

Liam was playing in the park. He collected four tree twigs that measured 23 ft, 815 ft, 15 ft, and 79 ft. Determine which of the twigs is the longest.

  • Athe 815 ft long twig
  • Bthe 79 ft long twig
  • Cthe 15 ft long twig
  • Dthe 23 ft long twig

Q3:

The table show the temperature over 15 days. Is the number of days with temperatures over 8 degrees Celsius equal to the number of days with temperatures below 8 degrees Celsius?

7 1 7 9 12
2 3 5 12 9
12 8 12 0 11
  • AFalse
  • BTrue

Q4:

Which is longer, 419 of a mile or 23 of a mile?

  • A 2 3 of a mile
  • B 4 1 9 of a mile

Q5:

A plumber drilled a hole in a wall such that its diameter is slightly larger than 332 in. Determine which of the following is the smallest measure that is still larger than 332 in.

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

Q6:

William and Michael were playing darts. William made 10 out of 16 shots, and Michael missed 6 out of 20 shots. Who is better at throwing darts?

  • AWilliam
  • BMichael

Q7:

Complete 11131318 using <, = or >.

  • A =
  • B >
  • C <

Q8:

Given that Natalie spends 13 of her salary to commute to work and 38 of her salary to buy food, determine whether she spends more money on transportation or food.

  • Atransportation
  • Bfood

Q9:

1 6 > .

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

Q10:

7 1 2 < .

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

Q11:

Given that 𝑎>𝑏>0, complete the following using <, =, or >: 1𝑎1𝑏.

  • A =
  • B >
  • C <

Q12:

Complete 1213 using < or >.

  • A >
  • B <

Q13:

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?

  • ATravel with friends
  • BTravel with parents
  • CSchool bus
  • DWalk

Q14:

Which of 114,15,120,14 is the greatest?

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

Q15:

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
  • Achecking the weather
  • Bwriting or reading a blog
  • Csearching for information
  • Ddownloading music

Q16:

A group of people were asked what their favorite sport was. Given that 112 of the people picked football, 34 of the people picked baseball, and 116 of the people picked basketball, determine which sport is favored by the greatest number of people.

  • Afootball
  • Bbasketball
  • Cbaseball

Q17:

Complete 1314 using < or >.

  • A >
  • B <

Q18:

Complete 38816 using <, =, or >.

  • A >
  • B =
  • C <

Q19:

Complete 8869 using <, = or >.

  • A >
  • B =
  • C <

Q20:

Complete 2225810 using <, = or >.

  • A >
  • B <
  • C =

Q21:

Complete 2021427 using <, =, or >.

  • A >
  • B =
  • C <

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