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Worksheet: Comparing Improper 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:

Complete 7 6 + 9 6 1 using < , = or > .

  • A =
  • B <
  • C >

Q3:

Complete 1 4 6 6 1 3 9 3 1 4 5 3 1 4 7 5 using < , = or > .

  • A =
  • B <
  • C >

Q4:

Victoria jogged for 2 1 8 miles on Monday, 2 1 1 0 miles on Tuesday, and 2 4 5 miles on Wednesday. Determine the day on which she jogged for a distance that is the closest to 2 miles.

  • AWednesday
  • BMonday
  • CTuesday

Q5:

Victoria jogged for 1 7 7 miles on Monday, 5 2 miles on Tuesday, and 2 7 8 miles on Wednesday. Determine the day on which she jogged for a distance that is the closest to 2 miles.

  • AWednesday
  • BTuesday
  • CMonday

Q6:

Complete 1 1 7 1 5 1 1 using < , = or > .

  • A =
  • B <
  • C >

Q7:

Which of the following is a mixed number between 1 2 7 and 1 2 7 ?

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

Q8:

Which of the following is a mixed number between 3 2 7 and 2 6 7 ?

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

Q9:

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

Q10:

Express 0 9 as an integer.

Q11:

Simplify 2 4 4 .

Q12:

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

Q13:

Ethan studied for 2 7 1 0 hours on Monday, 2 1 8 hours on Wednesday, and 9 4 hours on Friday. Determine the day on which Ethan studied for a period closest to 2 hours.

  • AWednesday
  • BMonday
  • CFriday

Q14:

Which is greater, 9 1 1 or 2 4 1 3 ?

  • A 2 4 1 3
  • B 9 1 1

Q15:

Which is greater, 2 3 2 0 or 6 7 ?

  • A 2 3 2 0
  • B 6 7

Q16:

Which is greater, 1 6 3 or 2 5 2 3 ?

  • A 1 6 3
  • B 2 5 2 3

Q17:

Mason is training for an upcoming race that is 8 miles long. His two options for practicing are tracks of 7 5 6 and 8 1 3 miles. Determine which track is more suitable for his training.

  • A the 8 1 3 -mile track
  • B the 7 5 6 -mile track

Q18:

Write < , = , or > to compare the following fractions: 2 9 2 6 2 6 2 9 .

  • A =
  • B <
  • C >