Worksheet: Comparing Fractions Greater than One

In this worksheet, we will practice comparing common fractions and mixed numbers.

Q1:

Which of the following is true?

  • A 3 5 < 7 9
  • B 3 5 = 7 9
  • C 3 5 > 7 9

Q2:

Which of the following is true?

  • A 1 5 9 > 1 1 6
  • B 1 5 9 = 1 1 6
  • C 1 5 9 < 1 1 6

Q3:

Express 09 as an integer.

Q4:

Victoria jogged for 218 miles on Monday, 2110 miles on Tuesday, and 245 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: 29262629.

  • A >
  • B <
  • C =

Q6:

Which is greater, 911 or 2413?

  • A 2 4 1 3
  • B 9 1 1

Q7:

Which of the following is a mixed number between 127 and 127?

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

Q8:

Ethan studied for 2710 hours on Monday, 218 hours on Wednesday, and 94 hours on Friday. Determine the day on which Ethan studied for a period closest to 2 hours.

  • AWednesday
  • BFriday
  • CMonday

Q9:

Complete 1,4661,3931,4531,475 using <, = or >.

  • A <
  • B >
  • C =

Q10:

Complete 1171511 using <, = or >.

  • A >
  • B =
  • C <

Q11:

Complete 76+961 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 244.

Q14:

Mason is training for an upcoming race that is 8 miles long. His two options for practicing are tracks of 756 and 813 miles. Determine which track is more suitable for his training.

  • Athe 756-mile track
  • Bthe 813-mile track

Q15:

Victoria jogged for 177 miles on Monday, 52 miles on Tuesday, and 278 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 327 and 267?

  • A 4 3 7
  • B 3 6 7
  • C 3 3 7
  • D 3 1 7
  • E 3 5 7

Q17:

Which is greater, 2320 or 67?

  • A 2 3 2 0
  • B 6 7

Q18:

Which is greater, 163 or 2523?

  • A 1 6 3
  • B 2 5 2 3

Q19:

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

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

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 4319 and 3516 to mixed numbers. What fractions do they actually need to compare?

  • A 3 1 9 and 516
  • B 2 1 9 and 216
  • C 1 4 1 9 and 1316
  • D 5 1 9 and 316
  • E 5 1 6 and 1916

Which of the following is correct?

  • A 5 1 9 > 5 2 0 and 316<416
  • B 5 1 9 < 5 2 0 and 316<416
  • C 5 1 9 > 5 2 0 and 316>416
  • D 5 1 9 < 5 2 0 and 316>416

Knowing that 520 and 416 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 25621217 using <, = or >.

  • A =
  • B <
  • C >

Q22:

Which of the following statements is true about 558?

  • A 5 5 8 < 5 1 4
  • B 5 5 8 > 5 1 4
  • C 5 3 8 > 5 5 8
  • D 6 < 5 5 8
  • E 5 5 8 > 5 7 8

Q23:

Matthew can hold his breath for 1929 seconds, and Charlotte can hold her breath for 1934 seconds. Which of them has a shorter breath?

  • AMatthew
  • BCharlotte

Q24:

It takes Scarlett 634 minutes to walk to the bus stop. Should Scarlett leave her house 612 minutes or 7 minutes before the bus arrives?

  • A7 min
  • B 6 1 2 min

Q25:

A carpenter crafted wooden frames that are 134, 112, and 1317 feet long. Which frame is the longest?

  • A 1 3 4 ft
  • B 1 3 1 7 ft
  • C 1 1 2 ft

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