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4th grade fractions practice

14 original Grade 4 questions on fractions with instant marking and a worked explanation for every answer. Answer each one, press Check, and see your score at the end.

About fractions in grade 4

Fourth grade is a big year for fractions. Students learn to make equivalent fractions by multiplying the numerator and denominator by the same number (Common Core 4.NF.A.1), and to compare fractions with different numerators and denominators, often by using a benchmark like 1/2 or by finding a common denominator (4.NF.A.2). They then add and subtract fractions and mixed numbers with like denominators (4.NF.B.3) and multiply a fraction by a whole number (4.NF.B.4).

This set covers all of those skills, from filling in a missing numerator to word problems about pizza and ribbon. Type fractions with a slash, such as 3/4, and mixed numbers with a space, such as 2 3/4. Each answer is checked instantly and explained step by step. A picture helps more than a rule: if a student is unsure, sketch a bar split into equal parts and shade the fractions. That makes it clear why 2/7 + 3/7 is 5/7 and not 5/14, because the size of each part does not change when you add.

14 practice questions

Choose an option or type your answer, then press Check. Capital letters and extra spaces do not matter in typed answers, and units are optional.

Score: 0 / 14(0 of 14 checked)
  1. 1.

    Which fraction is equivalent to 2/3?

    Question 1 options
    Answer and explanation

    Answer: A) 4/6

    Multiply the numerator and denominator by 2: 2 x 2 = 4 and 3 x 2 = 6, so 2/3 = 4/6. The other fractions are not equal to 2/3.

  2. 2.

    Fill in the missing numerator: 3/4 = ?/12

    Answer and explanation

    Answer: 9

    4 x 3 = 12, so the denominator was multiplied by 3. Multiply the numerator by 3 too: 3 x 3 = 9. So 3/4 = 9/12.

  3. 3.

    Which fraction is greater than 1/2?

    Question 3 options
    Answer and explanation

    Answer: D) 5/8

    Half of 8 is 4, so 5/8 is more than half. Half of 8 is 4 (3/8 is less), half of 12 is 6 (5/12 is less) and half of 10 is 5 (4/10 is less).

  4. 4.

    What is 2/7 + 3/7?

    Answer and explanation

    Answer: 5/7

    The denominators are the same, so add the numerators: 2 + 3 = 5. The parts are still sevenths, so the answer is 5/7.

  5. 5.

    What is 9/10 - 4/10?

    Question 5 options
    Answer and explanation

    Answer: A) 5/10

    Subtract the numerators and keep the denominator: 9 - 4 = 5, so the answer is 5/10 (which is the same as 1/2).

  6. 6.

    Write 11/4 as a mixed number.

    Answer and explanation

    Answer: 2 3/4

    4 goes into 11 two whole times (2 x 4 = 8) with 3 left over. So 11/4 = 2 wholes and 3/4, written 2 3/4.

  7. 7.

    Write 3 1/5 as an improper fraction.

    Question 7 options
    Answer and explanation

    Answer: A) 16/5

    Each whole is 5/5, so 3 wholes are 15/5. Add the extra 1/5: 15/5 + 1/5 = 16/5.

  8. 8.

    What is 1 3/8 + 2 2/8?

    Answer and explanation

    Answer: 3 5/8 (also accepted: 29/8)

    Add the whole numbers: 1 + 2 = 3. Add the fractions: 3/8 + 2/8 = 5/8. The answer is 3 5/8.

  9. 9.

    What is 4 x 2/5?

    Question 9 options
    Answer and explanation

    Answer: A) 8/5

    4 x 2/5 means 2/5 + 2/5 + 2/5 + 2/5. Multiply only the numerator: 4 x 2 = 8, so the answer is 8/5 (or 1 3/5).

  10. 10.

    Which fraction is greater, 3/5 or 7/10?

    Answer and explanation

    Answer: 7/10

    Rewrite 3/5 in tenths: 3/5 = 6/10. Now compare 6/10 and 7/10. 7/10 is greater.

  11. 11.

    Sam ate 3/8 of a pizza and Leah ate 2/8 of the same pizza. How much of the pizza did they eat together?

    Question 11 options
    Answer and explanation

    Answer: B) 5/8

    Add like fractions: 3/8 + 2/8 = 5/8. The pizza is still cut into eighths, so the denominator stays 8.

  12. 12.

    What is 6 x 1/3? Give your answer as a whole number.

    Answer and explanation

    Answer: 2 (also accepted: 6/3)

    6 x 1/3 = 6/3. Three thirds make one whole, so 6/3 = 2.

  13. 13.

    Which fraction does NOT have the same value as one half?

    Question 13 options
    Answer and explanation

    Answer: C) 3/5

    In 2/4, 4/8 and 5/10 the numerator is exactly half of the denominator. In 3/5, half of 5 is 2.5, not 3, so 3/5 is not equal to one half.

  14. 14.

    A ribbon is 5/6 yard long. Jada cuts off 2/6 yard. How much ribbon is left?

    Answer and explanation

    Answer: 3/6 (also accepted: 1/2)

    Subtract like fractions: 5/6 - 2/6 = 3/6 yard. That is the same as 1/2 yard.

Common mistakes with fractions

Adding the denominators

2/7 + 3/7 is 5/7, not 5/14. The denominator names the size of the parts, and that stays the same when you add like fractions.

Thinking a bigger denominator means a bigger fraction

1/8 is smaller than 1/4, because the whole is cut into more, smaller pieces.

Changing only one part of the fraction

To make an equivalent fraction, multiply the numerator AND the denominator by the same number. 3/4 = 9/12, not 3/12.

Multiplying both parts by the whole number

4 x 2/5 means four lots of 2/5, which is 8/5. Only the numerator is multiplied; 8/20 is wrong.

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FAQ

How do you compare fractions with different denominators?

Either rewrite them with a common denominator and compare the numerators, or compare each one to a benchmark such as 1/2 or 1.

Do 4th graders need to simplify fractions?

Simplifying is not required by the 4th grade standards, but recognizing equivalent fractions such as 3/6 = 1/2 is, so both forms are accepted here unless a question asks for one form.

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