Small practice. Bright discoveries.Explore the free starter collection
worksheetstudio.
Sign in
Back to worksheets
MathsAges 10-12

Simplifying fractions

Divide numerator and denominator by their highest common factor to write a fraction in simplest form. Review suitability for your learners before teaching.

New variationTry interactive challengeBrowse templates
Age band:Ages 7-9Ages 10-12

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 10-12

Simplifying fractions

Take your time. Show your thinking.

  1. 1. Simplify the fraction 21/24 to its lowest terms.

    21 · 24 · Simplifying fractions

  2. 2. Simplify the fraction 33/44 to its lowest terms.

    33 · 44 · Simplifying fractions

  3. 3. Simplify the fraction 28/32 to its lowest terms.

    28 · 32 · Simplifying fractions

  4. 4. Simplify the fraction 16/40 to its lowest terms.

    16 · 40 · Simplifying fractions

  5. 5. Simplify the fraction 8/32 to its lowest terms.

    8 · 32 · Simplifying fractions

  6. 6. Simplify the fraction 14/21 to its lowest terms.

    14 · 21 · Simplifying fractions

  7. 7. Simplify the fraction 5/10 to its lowest terms.

    5 · 10 · Simplifying fractions

  8. 8. Simplify the fraction 4/10 to its lowest terms.

    4 · 10 · Simplifying fractions

  9. 9. Simplify the fraction 36/60 to its lowest terms.

    36 · 60 · Simplifying fractions

  10. 10. Simplify the fraction 77/88 to its lowest terms.

    77 · 88 · Simplifying fractions

  11. 11. Simplify the fraction 15/25 to its lowest terms.

    15 · 25 · Simplifying fractions

  12. 12. Simplify the fraction 18/48 to its lowest terms.

    18 · 48 · Simplifying fractions
12 questions · Seed 104730 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12

Simplifying fractions

Answers and reasoning. Review before teaching.

  1. 1. Simplify the fraction 21/24 to its lowest terms.

    7/8

    Divide numerator and denominator by their highest common factor (3): 21 ÷ 3 = 7 and 24 ÷ 3 = 8.

  2. 2. Simplify the fraction 33/44 to its lowest terms.

    3/4

    Divide numerator and denominator by their highest common factor (11): 33 ÷ 11 = 3 and 44 ÷ 11 = 4.

  3. 3. Simplify the fraction 28/32 to its lowest terms.

    7/8

    Divide numerator and denominator by their highest common factor (4): 28 ÷ 4 = 7 and 32 ÷ 4 = 8.

  4. 4. Simplify the fraction 16/40 to its lowest terms.

    2/5

    Divide numerator and denominator by their highest common factor (8): 16 ÷ 8 = 2 and 40 ÷ 8 = 5.

  5. 5. Simplify the fraction 8/32 to its lowest terms.

    1/4

    Divide numerator and denominator by their highest common factor (8): 8 ÷ 8 = 1 and 32 ÷ 8 = 4.

  6. 6. Simplify the fraction 14/21 to its lowest terms.

    2/3

    Divide numerator and denominator by their highest common factor (7): 14 ÷ 7 = 2 and 21 ÷ 7 = 3.

  7. 7. Simplify the fraction 5/10 to its lowest terms.

    1/2

    Divide numerator and denominator by their highest common factor (5): 5 ÷ 5 = 1 and 10 ÷ 5 = 2.

  8. 8. Simplify the fraction 4/10 to its lowest terms.

    2/5

    Divide numerator and denominator by their highest common factor (2): 4 ÷ 2 = 2 and 10 ÷ 2 = 5.

  9. 9. Simplify the fraction 36/60 to its lowest terms.

    3/5

    Divide numerator and denominator by their highest common factor (12): 36 ÷ 12 = 3 and 60 ÷ 12 = 5.

  10. 10. Simplify the fraction 77/88 to its lowest terms.

    7/8

    Divide numerator and denominator by their highest common factor (11): 77 ÷ 11 = 7 and 88 ÷ 11 = 8.

  11. 11. Simplify the fraction 15/25 to its lowest terms.

    3/5

    Divide numerator and denominator by their highest common factor (5): 15 ÷ 5 = 3 and 25 ÷ 5 = 5.

  12. 12. Simplify the fraction 18/48 to its lowest terms.

    3/8

    Divide numerator and denominator by their highest common factor (6): 18 ÷ 6 = 3 and 48 ÷ 6 = 8.

12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Simplifying fractions

Take your time. Show your thinking.

  1. 1. Simplify the fraction 21/24 to its lowest terms.

    21 · 24 · Simplifying fractions

  2. 2. Simplify the fraction 33/44 to its lowest terms.

    33 · 44 · Simplifying fractions

  3. 3. Simplify the fraction 28/32 to its lowest terms.

    28 · 32 · Simplifying fractions

  4. 4. Simplify the fraction 16/40 to its lowest terms.

    16 · 40 · Simplifying fractions

  5. 5. Simplify the fraction 8/32 to its lowest terms.

    8 · 32 · Simplifying fractions

  6. 6. Simplify the fraction 14/21 to its lowest terms.

    14 · 21 · Simplifying fractions

  7. 7. Simplify the fraction 5/10 to its lowest terms.

    5 · 10 · Simplifying fractions

  8. 8. Simplify the fraction 4/10 to its lowest terms.

    4 · 10 · Simplifying fractions

  9. 9. Simplify the fraction 36/60 to its lowest terms.

    36 · 60 · Simplifying fractions

  10. 10. Simplify the fraction 77/88 to its lowest terms.

    77 · 88 · Simplifying fractions

  11. 11. Simplify the fraction 15/25 to its lowest terms.

    15 · 25 · Simplifying fractions

  12. 12. Simplify the fraction 18/48 to its lowest terms.

    18 · 48 · Simplifying fractions
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Simplifying fractions

Answers and reasoning. Review before teaching.

  1. 1. Simplify the fraction 21/24 to its lowest terms.

    7/8

    Divide numerator and denominator by their highest common factor (3): 21 ÷ 3 = 7 and 24 ÷ 3 = 8.

  2. 2. Simplify the fraction 33/44 to its lowest terms.

    3/4

    Divide numerator and denominator by their highest common factor (11): 33 ÷ 11 = 3 and 44 ÷ 11 = 4.

  3. 3. Simplify the fraction 28/32 to its lowest terms.

    7/8

    Divide numerator and denominator by their highest common factor (4): 28 ÷ 4 = 7 and 32 ÷ 4 = 8.

  4. 4. Simplify the fraction 16/40 to its lowest terms.

    2/5

    Divide numerator and denominator by their highest common factor (8): 16 ÷ 8 = 2 and 40 ÷ 8 = 5.

  5. 5. Simplify the fraction 8/32 to its lowest terms.

    1/4

    Divide numerator and denominator by their highest common factor (8): 8 ÷ 8 = 1 and 32 ÷ 8 = 4.

  6. 6. Simplify the fraction 14/21 to its lowest terms.

    2/3

    Divide numerator and denominator by their highest common factor (7): 14 ÷ 7 = 2 and 21 ÷ 7 = 3.

  7. 7. Simplify the fraction 5/10 to its lowest terms.

    1/2

    Divide numerator and denominator by their highest common factor (5): 5 ÷ 5 = 1 and 10 ÷ 5 = 2.

  8. 8. Simplify the fraction 4/10 to its lowest terms.

    2/5

    Divide numerator and denominator by their highest common factor (2): 4 ÷ 2 = 2 and 10 ÷ 2 = 5.

  9. 9. Simplify the fraction 36/60 to its lowest terms.

    3/5

    Divide numerator and denominator by their highest common factor (12): 36 ÷ 12 = 3 and 60 ÷ 12 = 5.

  10. 10. Simplify the fraction 77/88 to its lowest terms.

    7/8

    Divide numerator and denominator by their highest common factor (11): 77 ÷ 11 = 7 and 88 ÷ 11 = 8.

  11. 11. Simplify the fraction 15/25 to its lowest terms.

    3/5

    Divide numerator and denominator by their highest common factor (5): 15 ÷ 5 = 3 and 25 ÷ 5 = 5.

  12. 12. Simplify the fraction 18/48 to its lowest terms.

    3/8

    Divide numerator and denominator by their highest common factor (6): 18 ÷ 6 = 3 and 48 ÷ 6 = 8.

12 questions · Seed 104730 · Age guidance, not curriculum certification