Lesson Worksheet: Simplifying Fractions Using Common Factors Mathematics • 4th Grade

In this worksheet, we will practice finding the simplest form of a proper fraction by dividing the numerator and denominator by a common factor.

Q1:

30 pupils out of a class of 50 pupils went on a trip. What fraction of the class went on the trip?

  • A53
  • B12
  • C25
  • D35

Q2:

Fourteen of the top thirty all-time grossing children’s films were animated films. Write 1430 as a fraction in its simplest form.

  • A715
  • B157
  • C710
  • D215
  • E152

Q3:

A new TV channel has 27 new TV shows scheduled to air this week. What fraction of the scheduled shows, in the simplest form, are 30-minute shows?

30–Minute Shows15
60–Minute Shows12
  • A49
  • B94
  • C45
  • D59
  • E95

Q4:

Write 515 in its simplest form.

  • A13
  • B24
  • C15
  • D14

Q5:

Simplify 1040.

  • A104
  • B1040
  • C140
  • D131
  • E14

Q6:

Simplify 814.

  • A47
  • B414
  • C17
  • D114
  • E87

Q7:

Do the two fractions 1014 and 2535 have the same simplest form?

  • ANo
  • BYes

Q8:

Write 918 in its simplest form.

  • A12
  • B23
  • C14
  • D13

Q9:

Write 749 in its simplest form.

  • A17
  • B28
  • C19
  • D18

Q10:

Write 921 in its simplest form.

  • A37
  • B48
  • C39
  • D38

Q11:

Write 324 in its simplest form.

  • A18
  • B29
  • C110
  • D19

Q12:

Write 615 in its simplest form.

  • A25
  • B36
  • C27
  • D26

Q13:

Write 614 in its simplest form.

  • A37
  • B48
  • C39
  • D38

Q14:

Write 912 in its simplest form.

  • A34
  • B45
  • C36
  • D35

Q15:

Madison baked 21 cupcakes. How many dozen cupcakes did she bake? Express the number as a mixed number in the simplest form.

  • A78
  • B134
  • C125
  • D312
  • E234

Q16:

Express seven and five-eighths as an improper fraction.

  • A32
  • B618
  • C52
  • D192
  • E518

Q17:

Write 1132 and 41313 in their simplest forms so that neither contains an improper fraction.

  • A1312, 2413
  • B1212, 4
  • C1312, 1413
  • D1212, 5
  • E1112, 5

Q18:

The given table demonstrates the ingredients of a recipe and the amount of each ingredient. Express each ingredient’s amount as a mixed number in its simplest form.

Ingredientsflourbuttersugar
Amount143 cups157 cups227 cups
  • Aflour: 423 cups, butter: 317 cups, sugar: 317 cups
  • Bflour: 523 cups, butter: 217 cups, sugar: 317 cups
  • Cflour: 423 cups, butter: 217 cups, sugar: 417 cups
  • Dflour: 423 cups, butter: 217 cups, sugar: 317 cups
  • Eflour: 423 cups, butter: 217 cups, sugar: 217 cups

Q19:

Noah is 5212 years old. Express his age as a mixed number in the simplest form.

  • A313 years old
  • B414 years old
  • C513 years old
  • D413 years old
  • E4512 years old

Q20:

James measured a fish and found it to be 649 inches long. Write the length as an improper fraction.

  • A83 in
  • B203 in
  • C199 in
  • D109 in
  • E589 in

Q21:

Matthew is 6920 feet tall. Express his height as an improper fraction.

  • A11710 ft
  • B74 ft
  • C34 ft
  • D2710 ft
  • E12920 ft

Q22:

Without using a calculator, work out 79×6+79×479×2.

Q23:

Evaluate 62266×2.

Q24:

The table shows the sports played by 44 students. What fraction of the students play football?

SportsFootballBasketballTennis
Number of Students221111
  • A15
  • B25
  • C35
  • D12
  • E14

Q25:

Jennifer has 10 marbles. If 6 of these marbles are red, determine, in its simplest form, the fraction of Jennifer’s marbles that are red.

  • A35
  • B58
  • C83
  • D38
  • E53

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