Worksheet: Simplifying Fractions Using Common Factors

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:

Determine the fraction that is equal to 1418 and has a denominator of 9.

  • A 7 9
  • B 8 9
  • C 2 9

Q2:

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

  • A 5 3
  • B 1 2
  • C 2 5
  • D 3 5

Q3:

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

  • A 7 1 5
  • B 1 5 7
  • C 7 1 0
  • D 2 1 5
  • E 1 5 2

Q4:

Lions sleep for about 20 hours a day. What fraction of the day is this? Give your answer in its simplest form.

  • A 5 6
  • B 4 5
  • C 5 4
  • D 6 5
  • E 2 3

Q5:

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
60–Minute Shows 12
  • A 4 9
  • B 9 4
  • C 4 5
  • D 5 9
  • E 9 5

Q6:

In the 2003 NBA season, Kirk Hinrich of the Chicago Bulls started 66 of the 76 games he played. What fraction of the games did he start? Give the answer in its simplest form.

  • A 7 6
  • B 3 8 3 3
  • C 6 7
  • D 1 1 1 2
  • E 3 3 3 8

Q7:

Write 515 in its simplest form.

  • A 1 3
  • B 2 4
  • C 1 5
  • D 1 4

Q8:

Simplify 1040.

  • A 1 4 0
  • B 1 3 1
  • C 1 0 4
  • D 1 0 4 0
  • E 1 4

Q9:

Simplify 814.

  • A 4 7
  • B 4 1 4
  • C 1 7
  • D 1 1 4
  • E 8 7

Q10:

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

  • Ano
  • Byes

Q11:

What fraction of a day is eighteen hours? Express the result in its simplest form.

  • A 2 3
  • B 4 3
  • C 3 4
  • D 3 2
  • E 1 2

Q12:

Fill in the blanks.

  • A9, 10
  • B72, 81
  • C90, 99
  • D10, 11

Q13:

Find the fraction that has a numerator of 13 and equals 2628.

  • A 1 3 1 4
  • B 1 3 2 8
  • C 1 3 0

Q14:

What fraction of a dollar is fifty-two cents? Express the answer in the simplest form.

  • A 2 5 1 3
  • B 2 6 2 5
  • C 2 5 2 6
  • D 1 3 9
  • E 1 3 2 5

Q15:

1 3 = -twelfths.

  • Afour
  • Bfive
  • Csix
  • Dthree

Q16:

2 5 = 8 .

Q17:

Fill in the blanks.

  • A5, 4, 1
  • B3, 3, 1
  • C3, 3, 2
  • D4, 3, 2

Q18:

Write 918 in its simplest form.

  • A 1 2
  • B 2 3
  • C 1 4
  • D 1 3

Q19:

Write 749 in its simplest form.

  • A 1 7
  • B 2 8
  • C 1 9
  • D 1 8

Q20:

Write 921 in its simplest form.

  • A 3 7
  • B 4 8
  • C 3 9
  • D 3 8

Q21:

Write 324 in its simplest form.

  • A 1 8
  • B 2 9
  • C 1 1 0
  • D 1 9

Q22:

Write 615 in its simplest form.

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

Q23:

Write 614 in its simplest form.

  • A 3 7
  • B 4 8
  • C 3 9
  • D 3 8

Q24:

Write 912 in its simplest form.

  • A 3 4
  • B 4 5
  • C 3 6
  • D 3 5

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