# 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?

• A
• B
• C
• D

Q2:

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

• A
• B
• C
• D
• E

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 Shows 15 12
• A
• B
• C
• D
• E

Q4:

Write in its simplest form.

• A
• B
• C
• D

Q5:

Simplify .

• A
• B
• C
• D
• E

Q6:

Simplify .

• A
• B
• C
• D
• E

Q7:

Do the two fractions and have the same simplest form?

• ANo
• BYes

Q8:

Write in its simplest form.

• A
• B
• C
• D

Q9:

Write in its simplest form.

• A
• B
• C
• D

Q10:

Write in its simplest form.

• A
• B
• C
• D

Q11:

Write in its simplest form.

• A
• B
• C
• D

Q12:

Write in its simplest form.

• A
• B
• C
• D

Q13:

Write in its simplest form.

• A
• B
• C
• D

Q14:

Write in its simplest form.

• A
• B
• C
• D

Q15:

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

• A
• B
• C
• D
• E

Q16:

Express seven and five-eighths as an improper fraction.

• A
• B
• C
• D
• E

Q17:

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

• A,
• B, 4
• C,
• D, 5
• E, 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.

 Ingredients Amount flour butter sugar 143 cups 157 cups 227 cups
• Aflour: cups, butter: cups, sugar: cups
• Bflour: cups, butter: cups, sugar: cups
• Cflour: cups, butter: cups, sugar: cups
• Dflour: cups, butter: cups, sugar: cups
• Eflour: cups, butter: cups, sugar: cups

Q19:

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

• A years old
• B years old
• C years old
• D years old
• E years old

Q20:

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

• A in
• B in
• C in
• D in
• E in

Q21:

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

• A ft
• B ft
• C ft
• D ft
• E ft

Q22:

Without using a calculator, work out .

Q23:

Evaluate .

Q24:

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

Number of Students221111
• A
• B
• C
• D
• E

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.

• A
• B
• C
• D
• E