Worksheet: Comparing Fractions Using Equivalent 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 1 7 9 using <, = or >.

  • A=
  • B<
  • C>

Q2:

Amir was playing in the park. He collected four tree twigs that measured 2 3 ft, 8 1 5 ft, 1 5 ft, and 7 9 ft. Determine which of the twigs is the longest.

  • A the 8 1 5 ft long twig
  • B the 2 3 ft long twig
  • C the 1 5 ft long twig
  • D the 7 9 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
  • ATrue
  • BFalse

Q4:

Which is longer, 4 1 9 of a mile or 2 3 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 3 3 2 in. Determine which of the following is the smallest measure that is still larger than 3 3 2 in.

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

  • AMichael
  • BWilliam

Q7:

Complete 1 1 1 3 1 3 1 8 using < , = or > .

  • A =
  • B <
  • C >

Q8:

Given that Yasmine 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

Q9:

1 6 > .

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

Q10:

7 1 2 < .

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

Q11:

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

  • A >
  • B =
  • C <

Q12:

Complete 1 2 1 3 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?

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

Q14:

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

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
  • A checking the weather
  • B downloading music
  • C writing or reading a blog
  • D searching for information

Q16:

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

Q17:

Complete 1 3 1 4 using < or > .

  • A >
  • B <

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.