Worksheet: Simplifying Fractions

In this worksheet, we will practice simplifying and reducing fractions by dividing both their numerators and denominators by their greatest common factor.

Q1:

Determine the fraction that is equal to 1 4 1 8 and has a denominator of 9.

  • A 8 9
  • B 2 9
  • C 7 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 1 2
  • B 5 3
  • C 2 5
  • D 3 5

Q3:

Fourteen of the top thirty all-time grossing children’s films were animated films. Write 1 4 3 0 as a fraction in its simplest form.

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

Q4:

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

  • A 4 5
  • B 6 5
  • C 5 4
  • D 5 6
  • 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 5
  • C 9 4
  • D 5 9
  • E 4 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 6 7
  • B 1 1 1 2
  • C 3 8 3 3
  • D 3 3 3 8
  • E 7 6

Q7:

Write 5 1 5 in its simplest form.

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

Q8:

Simplify 1 0 4 0 .

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

Q9:

Simplify 8 1 4 .

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

Q10:

Do the two fractions 1 0 1 4 and 2 5 3 5 have the same simplest form?

  • Ayes
  • Bno

Q11:

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

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

Q12:

Fill in the blanks.

  • A90, 99
  • B10, 11
  • C72, 81
  • D9, 10

Q13:

Find the fraction that has a numerator of 13 and equals 2 6 2 8 .

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

Q14:

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

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

Q15:

1 3 = -twelfths.

  • Afive
  • Bthree
  • Csix
  • Dfour

Q16:

2 5 = 8 .

Q17:

Fill in the blanks.

  • A4, 3, 2
  • B3, 3, 2
  • C5, 4, 1
  • D3, 3, 1

Q18:

Write 9 1 8 in its simplest form.

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

Q19:

Write 7 4 9 in its simplest form.

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

Q20:

Write 9 2 1 in its simplest form.

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

Q21:

Write 3 2 4 in its simplest form.

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

Q22:

Write 6 1 5 in its simplest form.

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

Q23:

Write 6 1 4 in its simplest form.

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

Q24:

Write 9 1 2 in its simplest form.

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

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