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:

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

Q2:

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

Q3:

Write 515 in its simplest form.

  • A13
  • B24
  • C15
  • D14

Q4:

Simplify 1040.

  • A104
  • B1040
  • C140
  • D131
  • E14

Q5:

Simplify 814.

  • A47
  • B414
  • C17
  • D114
  • E87

Q6:

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

  • ANo
  • BYes

Q7:

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

Q8:

Express seven and five-eighths as an improper fraction.

  • A32
  • B618
  • C52
  • D192
  • E518

Q9:

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

Q10:

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

Practice Means Progress

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