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.

  • A79
  • B89
  • C29

Q2:

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

Q3:

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

Q4:

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

  • A56
  • B45
  • C54
  • D65
  • E23

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

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.

  • A76
  • B3833
  • C67
  • D1112
  • E3338

Q7:

Write 515 in its simplest form.

  • A13
  • B24
  • C15
  • D14

Q8:

Simplify 1040.

  • A104
  • B1040
  • C140
  • D131
  • E14

Q9:

Simplify 814.

  • A47
  • B414
  • C17
  • D114
  • E87

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.

  • A23
  • B43
  • C34
  • D32
  • E12

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.

  • A1314
  • B1328
  • C130

Q14:

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

  • A2513
  • B2625
  • C2526
  • D139
  • E1325

Q15:

13=-twelfths.

  • Afour
  • Bfive
  • Cthree
  • Dsix

Q16:

25=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.

  • A12
  • B23
  • C14
  • D13

Q19:

Write 749 in its simplest form.

  • A17
  • B28
  • C19
  • D18

Q20:

Write 921 in its simplest form.

  • A37
  • B48
  • C39
  • D38

Q21:

Write 324 in its simplest form.

  • A18
  • B29
  • C110
  • D19

Q22:

Write 615 in its simplest form.

  • A25
  • B36
  • C27
  • D26

Q23:

Write 614 in its simplest form.

  • A37
  • B48
  • C39
  • D38

Q24:

Write 912 in its simplest form.

  • A34
  • B45
  • C36
  • D35

Q25:

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

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.