Comparing Fractions

Test your knowledge of fractions with this engaging 4×4 grid puzzle! Move the tiles to arrange the numerators in the first row and denominators in the second row to form four proper fractions in ascending order. Each win reshuffles the grid and sets a new challenge. Perfect for learners of all ages!

Worksheet 1: Comparing Fractions with the Same Denominators

Instructions: Compare the fractions and write <, >, or = in the blank.

  1. 3/8 ______ 5/8
  2. 7/12 ______ 4/12
  3. 2/5 ______ 2/5
  4. 9/10 ______ 6/10
  5. 1/4 ______ 3/4
  6. 5/9 ______ 7/9
  7. 2/7 ______ 6/7
  8. 4/6 ______ 4/6
  9. 8/11 ______ 3/11
  10. 3/10 ______ 9/10

Challenge Problems:

  1. 5/13 ______ 12/13
  2. 7/14 ______ 7/14
  3. 1/3 ______ 2/3
  4. 4/8 ______ 6/8
  5. 9/15 ______ 2/15

Worksheet 2: Comparing Fractions with Different Denominators

Instructions: Compare the fractions and write <, >, or = in the blank. Find a common denominator if necessary.

  1. 1/2 ______ 2/3
  2. 3/4 ______ 5/8
  3. 2/5 ______ 3/7
  4. 5/6 ______ 7/10
  5. 1/3 ______ 4/9
  6. 3/8 ______ 5/12
  7. 7/9 ______ 11/12
  8. 2/7 ______ 3/10
  9. 4/5 ______ 6/7
  10. 5/6 ______ 8/9

Challenge Problems:

  1. 3/5 ______ 7/10
  2. 2/3 ______ 5/6
  3. 1/4 ______ 2/5
  4. 7/8 ______ 9/10
  5. 3/7 ______ 4/9

Worksheet 3: Word Problems Involving Comparing Fractions

Instructions: Read each problem and compare the fractions. Write <, >, or = in the blank.

  1. Sarah ate 3/4 of her pizza, and Tom ate 2/3 of his pizza. Who ate more?
  2. A jar is 5/8 full of water, and another jar is 3/4 full of water. Which jar has more water?
  3. Jane read 2/5 of her book, and Mike read 1/2 of his book. Who read more of their book?
  4. There are 7/12 of a cake left, and 5/8 of another cake left. Which cake has more left?
  5. A rope is 3/7 as long as another rope, which is 4/9 as long. Which rope is longer?

Challenge Problems:

  1. Tim has completed 2/3 of his homework, and Sally has completed 3/4 of hers. Who has completed more?
  2. A plant grew 5/6 of an inch in one week and 7/10 of an inch in another week. Which week did it grow more?
  3. An apple is 2/5 red and another apple is 3/7 red. Which apple is more red?
  4. A tank is 4/5 full of water, and another tank is 9/10 full. Which tank has more water?
  5. A pie is 1/2 chocolate and another pie is 3/5 chocolate. Which pie has more chocolate?


Worksheet 4: Mixed Comparing Fractions Problems

Instructions: Compare the fractions and write <, >, or = in the blank. Use any method to find the answer.

  1. 5/6 ______ 4/5
  2. 7/10 ______ 2/3
  3. 3/8 ______ 1/2
  4. 5/12 ______ 6/15
  5. 11/12 ______ 8/9
  6. 1/4 ______ 2/6
  7. 2/3 ______ 4/7
  8. 5/9 ______ 3/5
  9. 3/4 ______ 7/8
  10. 4/5 ______ 9/10

Challenge Problems:

  1. 6/7 ______ 5/6
  2. 8/11 ______ 7/9
  3. 1/3 ______ 3/8
  4. 2/5 ______ 3/7
  5. 4/6 ______ 5/8

These worksheets cover a range of topics related to comparing fractions appropriate for Grade 4 students, including same denominators, different denominators, word problems, and mixed problems.


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