# Worksheet: Comparing Fractions Greater Than One

In this worksheet, we will practice comparing two improper fractions or mixed numbers by finding equivalent fractions with a common denominator.

Q1:

Which of the following is true?

• A
• B
• C

Q2:

Which of the following is true?

• A
• B
• C

Q3:

Express as an integer.

Q4:

Victoria jogged for miles on Monday, miles on Tuesday, and miles on Wednesday. Determine the day on which she jogged for a distance that is the closest to 2 miles.

• AMonday
• BTuesday
• CWednesday

Q5:

Write , , or to compare the following fractions: .

• A
• B
• C

Q6:

Which is greater, or ?

• A
• B

Q7:

Which of the following is a mixed number between and ?

• A
• B
• C
• D
• E

Q8:

Ethan studied for hours on Monday, hours on Wednesday, and hours on Friday. Determine the day on which Ethan studied for a period closest to 2 hours.

• AWednesday
• BFriday
• CMonday

Q9:

Complete using , or .

• A
• B
• C

Q10:

Complete using , or .

• A
• B
• C

Q11:

Complete using , or .

• A
• B
• C

Q12:

In a three-point contest, the first player scored 21 goals out of 49 shots, while the second player scored 36 goals out of 60 shots. Which player scored a greater fraction of goals?

• Athe second player
• Bthe first player

Q13:

Simplify .

Q14:

Mason is training for an upcoming race that is 8 miles long. His two options for practicing are tracks of and miles. Determine which track is more suitable for his training.

• Athe -mile track
• Bthe -mile track

Q15:

Victoria jogged for miles on Monday, miles on Tuesday, and miles on Wednesday. Determine the day on which she jogged for a distance that is the closest to 2 miles.

• ATuesday
• BMonday
• CWednesday

Q16:

Which of the following is a mixed number between and ?

• A
• B
• C
• D
• E

Q17:

Which is greater, or ?

• A
• B

Q18:

Which is greater, or ?

• A
• B

Q19:

Find all the fractions between 1 and 2 whose denominators are 6.

• A
• B
• C
• D

Q20:

Daniel and Matthew both follow the results of their respective cities’ soccer teams. Daniel’s team has played 19 games and scored 43 goals in total, while Matthew’s team has scored 35 goals in 16 games. They estimated the two teams’ average number of goals per game, and they got the same estimate.

Which of the following is the best estimate of this number?

• Aslightly less than two goals per game
• Bslightly more than three goals per game
• Cslightly more than two goals per game
• Dslightly less than three goals per game
• Eslightly more than one goal per game

They want to determine if one of the teams has scored slightly more goals per game than the other. For that, they converted and to mixed numbers. What fractions do they actually need to compare?

• A and
• B and
• C and
• D and
• E and

Which of the following is correct?

• A and
• B and
• C and
• D and

Knowing that and are equal, determine which team scored the largest number of goals per game.

• AMatthew’s team
• BBoth teams scored the same number of goals per game.
• CDaniel’s team

Q21:

Complete using , or .

• A
• B
• C

Q22:

Which of the following statements is true about ?

• A
• B
• C
• D
• E

Q23:

Matthew can hold his breath for seconds, and Charlotte can hold her breath for seconds. Which of them has a shorter breath?

• AMatthew
• BCharlotte

Q24:

It takes Scarlett minutes to walk to the bus stop. Should Scarlett leave her house minutes or 7 minutes before the bus arrives?

• A7 min
• B min

Q25:

A carpenter crafted wooden frames that are , , and feet long. Which frame is the longest?

• A ft
• B ft
• C ft