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➗ Mathematics · Topic 6 of 10

Fractions — Mathematics Questions with Answers

60 practice questions on Fractions, each with the correct answer and a clear explanation of why it is right. Read through them as revision notes, or take this topic as an interactive quiz to test yourself.

5 easy · 27 medium · 28 hard · Part of Mathematics: Maths problems for Class 1-5 - 10 topics.

Key concepts in this topic

FractionsPart of wholeHalfQuarterNumeratorDenominatorWord problemThirdWholeComparingMaking wholeHalf of a numberQuarter of a numberThird of a numberReading fractionsEqual fractionsHalf of a groupAddingSubtractingIdentifyZeroEqual partsSummary

Jump to: Easy · Medium · Hard

Easy questions (5)

Q1. easy

A fraction shows a part of a:

  1. A Whole
  2. B Number line only
  3. C Table
  4. D Shape only

Answer: A — Whole

A fraction shows one or more equal parts of a whole thing or group. For example, half of a chapati is a fraction.

FractionsPart of whole

Q2. easy

If a chocolate is cut into 2 equal parts, each part is called:

  1. A One half
  2. B One third
  3. C One quarter
  4. D The whole

Answer: A — One half

Two equal parts means each part is one half, written as 1/2.

FractionsHalf

Q3. easy

How do we write 'one half' as a fraction?

  1. A 1/2
  2. B 2/1
  3. C 1/4
  4. D 2/2

Answer: A — 1/2

One half is written as 1/2 - 1 part out of 2 equal parts.

FractionsHalf

Q4. easy

If a cake is cut into 4 equal parts, each part is called:

  1. A One quarter (1/4)
  2. B One half (1/2)
  3. C One third (1/3)
  4. D Four wholes

Answer: A — One quarter (1/4)

Four equal parts means each part is one quarter, written as 1/4.

FractionsQuarter

Q5. easy

How do we write 'one quarter' as a fraction?

  1. A 1/4
  2. B 4/1
  3. C 1/2
  4. D 4/4

Answer: A — 1/4

One quarter is written as 1/4 - 1 part out of 4 equal parts.

FractionsQuarter

Medium questions (27)

Q6. medium

In the fraction 3/4, what is the top number (3) called?

  1. A Numerator
  2. B Denominator
  3. C Divisor
  4. D Whole

Answer: A — Numerator

The top number of a fraction is the numerator. It tells how many parts we take. The bottom number is the denominator.

FractionsNumerator

Q7. medium

In the fraction 3/4, what is the bottom number (4) called?

  1. A Denominator
  2. B Numerator
  3. C Remainder
  4. D Whole

Answer: A — Denominator

The bottom number is the denominator. It tells how many equal parts the whole is divided into.

FractionsDenominator

Q8. medium

A pizza is cut into 4 equal slices. Ravi eats 1 slice. What fraction did he eat?

  1. A 1/4
  2. B 1/2
  3. C 3/4
  4. D 4/1

Answer: A — 1/4

He ate 1 slice out of 4, which is 1/4.

FractionsWord problem

Q9. medium

A chapati is cut into 2 equal parts. Sita eats 1 part. What fraction is left?

  1. A 1/2
  2. B 1/4
  3. C 2/2
  4. D 0

Answer: A — 1/2

She ate 1/2, so 1/2 is left. (1 whole - 1/2 = 1/2.)

FractionsWord problem

Q10. medium

If a shape is divided into 3 equal parts, each part is:

  1. A One third (1/3)
  2. B One half (1/2)
  3. C One quarter (1/4)
  4. D Three wholes

Answer: A — One third (1/3)

Three equal parts means each part is one third, written as 1/3.

FractionsThird

Q11. medium

What fraction means the WHOLE thing?

  1. A 4/4 (or any number over itself)
  2. B 1/4
  3. C 1/2
  4. D 0/4

Answer: A — 4/4 (or any number over itself)

When the numerator equals the denominator, like 4/4, it means all the parts - the whole thing (equal to 1).

FractionsWhole

Q14. medium

How many quarters (1/4) make a whole?

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

Answer: A — 4

Four quarters make one whole: 1/4 + 1/4 + 1/4 + 1/4 = 4/4 = 1.

FractionsMaking whole

Q15. medium

How many halves (1/2) make a whole?

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

Answer: A — 2

Two halves make one whole: 1/2 + 1/2 = 2/2 = 1.

FractionsMaking whole

Q20. medium

A shape is shaded in 2 out of 5 equal parts. What fraction is shaded?

  1. A 2/5
  2. B 5/2
  3. C 2/3
  4. D 1/5

Answer: A — 2/5

2 parts are shaded out of 5, so the shaded fraction is 2/5.

FractionsReading fractions

Q21. medium

A shape has 6 equal parts. 3 are coloured. What fraction is coloured?

  1. A 3/6
  2. B 6/3
  3. C 3/3
  4. D 1/6

Answer: A — 3/6

3 parts coloured out of 6 gives the fraction 3/6 (which is the same as one half).

FractionsReading fractions

Q24. medium

What fraction of a day is shown by half a day?

  1. A 1/2
  2. B 1/4
  3. C 1/3
  4. D 2/2

Answer: A — 1/2

Half a day is 1/2 of a day.

FractionsHalf

Q26. medium

In 2/3, how many equal parts is the whole divided into?

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

Answer: A — 3

The denominator (bottom number) is 3, so the whole is divided into 3 equal parts.

FractionsDenominator

Q27. medium

In 2/3, how many parts do we take?

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

Answer: A — 2

The numerator (top number) is 2, so we take 2 parts.

FractionsNumerator

Q30. medium

A group has 4 children. Half of them are girls. How many girls?

  1. A 2
  2. B 4
  3. C 1
  4. D 8

Answer: A — 2

Half of 4 is 4 ÷ 2 = 2 girls.

FractionsHalf of a group

Q32. medium

What fraction is shaded if 1 part out of 3 is coloured?

  1. A 1/3
  2. B 3/1
  3. C 1/2
  4. D 2/3

Answer: A — 1/3

1 part coloured out of 3 gives the fraction 1/3.

FractionsReading fractions

Q36. medium

How many thirds (1/3) make a whole?

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

Answer: A — 3

Three thirds make one whole: 1/3 + 1/3 + 1/3 = 3/3 = 1.

FractionsMaking whole

Q38. medium

What is half of 6?

  1. A 3
  2. B 2
  3. C 12
  4. D 6

Answer: A — 3

Half of 6 is 6 ÷ 2 = 3.

FractionsHalf of a number

Q40. medium

Which of these is a fraction?

  1. A 2/3
  2. B 23
  3. C 2 + 3
  4. D 2 - 3

Answer: A — 2/3

2/3 shows a part out of a whole, so it is a fraction. The others are whole numbers or number sentences.

FractionsIdentify

Q42. medium

Which is bigger: 2/5 or 3/5?

  1. A 3/5
  2. B 2/5
  3. C equal
  4. D cannot say

Answer: A — 3/5

With the same denominator, more parts means bigger. So 3/5 > 2/5.

FractionsComparing

Q44. medium

A bar of chocolate has 8 equal pieces. Ravi eats 4. What fraction did he eat?

  1. A 4/8 (one half)
  2. B 8/4
  3. C 1/8
  4. D 3/8

Answer: A — 4/8 (one half)

He ate 4 out of 8 pieces, which is 4/8 - the same as one half.

FractionsWord problem

Q46. medium

If you colour 0 parts of a shape, what fraction is coloured?

  1. A 0 (none)
  2. B 1
  3. C 1/2
  4. D 4/4

Answer: A — 0 (none)

If no parts are coloured, the coloured fraction is 0.

FractionsZero

Q48. medium

In a fraction, the denominator tells us:

  1. A How many equal parts the whole is divided into
  2. B How many parts we take
  3. C The answer
  4. D Nothing

Answer: A — How many equal parts the whole is divided into

The denominator (bottom number) tells the number of equal parts in the whole. The numerator (top) tells how many we take.

FractionsDenominator

Q50. medium

Half of a group of 20 students is:

  1. A 10
  2. B 5
  3. C 40
  4. D 2

Answer: A — 10

Half of 20 is 20 ÷ 2 = 10 students.

FractionsHalf of a group

Q52. medium

How is 'three quarters' written as a fraction?

  1. A 3/4
  2. B 4/3
  3. C 3/3
  4. D 1/4

Answer: A — 3/4

Three quarters means 3 parts out of 4, written as 3/4.

FractionsReading fractions

Q54. medium

Which shows a whole divided into equal parts correctly for fractions?

  1. A 4 equal parts
  2. B 4 parts of different sizes
  3. C 3 big and 1 small part
  4. D no parts

Answer: A — 4 equal parts

Fractions need EQUAL parts. Only when the parts are the same size can we call each one a fraction like 1/4.

FractionsEqual parts

Q56. medium

Which fraction is greater than a half?

  1. A 3/4
  2. B 1/4
  3. C 1/3
  4. D 1/5

Answer: A — 3/4

3/4 is three quarters, which is more than one half (2/4). The others are all less than a half.

FractionsComparing

Q59. medium

What is half of 4?

  1. A 2
  2. B 1
  3. C 8
  4. D 4

Answer: A — 2

Half of 4 means 4 ÷ 2 = 2.

FractionsHalf of a number

Hard questions (28)

Q12. hard

Which is bigger: 1/2 or 1/4?

  1. A 1/2
  2. B 1/4
  3. C They are equal
  4. D Cannot say

Answer: A — 1/2

Half of something is bigger than a quarter of it. When the top number is 1, the smaller the bottom number, the bigger the part. So 1/2 > 1/4.

FractionsComparing

Q13. hard

Which is smaller: 1/3 or 1/2?

  1. A 1/3
  2. B 1/2
  3. C They are equal
  4. D Cannot say

Answer: A — 1/3

One third is smaller than one half. With the same numerator (1), the bigger the denominator, the smaller the piece. So 1/3 < 1/2.

FractionsComparing

Q16. hard

What is half of 10?

  1. A 5
  2. B 2
  3. C 20
  4. D 10

Answer: A — 5

Half of 10 means 10 ÷ 2 = 5.

FractionsHalf of a number

Q17. hard

What is half of 8?

  1. A 4
  2. B 2
  3. C 16
  4. D 8

Answer: A — 4

Half of 8 means 8 ÷ 2 = 4.

FractionsHalf of a number

Q18. hard

What is one quarter (1/4) of 12?

  1. A 3
  2. B 4
  3. C 6
  4. D 48

Answer: A — 3

One quarter of 12 means 12 ÷ 4 = 3.

FractionsQuarter of a number

Q19. hard

What is one third (1/3) of 9?

  1. A 3
  2. B 6
  3. C 9
  4. D 27

Answer: A — 3

One third of 9 means 9 ÷ 3 = 3.

FractionsThird of a number

Q22. hard

Which fraction is equal to one half?

  1. A 2/4
  2. B 1/4
  3. C 3/4
  4. D 1/3

Answer: A — 2/4

2/4 means 2 parts out of 4, which is the same amount as 1/2. So 2/4 = 1/2.

FractionsEqual fractions

Q23. hard

Which fraction is equal to one whole?

  1. A 5/5
  2. B 1/5
  3. C 4/5
  4. D 0/5

Answer: A — 5/5

5/5 means all 5 parts out of 5, which is the whole thing (equal to 1).

FractionsWhole

Q25. hard

3/4 of a cake is left. What fraction was eaten?

  1. A 1/4
  2. B 3/4
  3. C 1/2
  4. D 4/4

Answer: A — 1/4

The whole cake is 4/4. If 3/4 is left, then 4/4 - 3/4 = 1/4 was eaten.

FractionsWord problem

Q28. hard

Which is the biggest fraction? 1/2, 1/3, 1/4, 1/5

  1. A 1/2
  2. B 1/3
  3. C 1/4
  4. D 1/5

Answer: A — 1/2

When the numerator is 1, the smaller the denominator, the bigger the piece. So 1/2 is the biggest.

FractionsComparing

Q29. hard

Which is the smallest fraction? 1/2, 1/3, 1/4, 1/5

  1. A 1/5
  2. B 1/4
  3. C 1/3
  4. D 1/2

Answer: A — 1/5

With numerator 1, the bigger the denominator, the smaller the piece. So 1/5 is the smallest.

FractionsComparing

Q31. hard

There are 12 sweets. Ravi eats one third of them. How many did he eat?

  1. A 4
  2. B 3
  3. C 6
  4. D 12

Answer: A — 4

One third of 12 is 12 ÷ 3 = 4 sweets.

FractionsWord problem

Q33. hard

Add: 1/4 + 1/4

  1. A 2/4 (one half)
  2. B 1/8
  3. C 2/8
  4. D 1/4

Answer: A — 2/4 (one half)

When the bottom numbers are the same, add the top numbers: 1/4 + 1/4 = 2/4, which is the same as one half.

FractionsAdding

Q34. hard

Add: 1/5 + 2/5

  1. A 3/5
  2. B 3/10
  3. C 2/5
  4. D 1/5

Answer: A — 3/5

With the same denominator, add the numerators: 1/5 + 2/5 = 3/5.

FractionsAdding

Q35. hard

Subtract: 3/4 - 1/4

  1. A 2/4 (one half)
  2. B 2/0
  3. C 4/4
  4. D 1/4

Answer: A — 2/4 (one half)

With the same denominator, subtract the numerators: 3/4 - 1/4 = 2/4 = one half.

FractionsSubtracting

Q37. hard

What is one quarter of 20?

  1. A 5
  2. B 4
  3. C 10
  4. D 80

Answer: A — 5

One quarter of 20 means 20 ÷ 4 = 5.

FractionsQuarter of a number

Q39. hard

A ribbon is cut into 4 equal pieces. What fraction is 3 pieces together?

  1. A 3/4
  2. B 4/3
  3. C 1/4
  4. D 1/3

Answer: A — 3/4

3 pieces out of 4 equal pieces is the fraction 3/4.

FractionsWord problem

Q41. hard

Which is bigger: 3/4 or 1/4?

  1. A 3/4
  2. B 1/4
  3. C equal
  4. D cannot say

Answer: A — 3/4

When the bottom numbers are the same, the bigger top number means the bigger fraction. So 3/4 > 1/4.

FractionsComparing

Q43. hard

What is one third of 15?

  1. A 5
  2. B 3
  3. C 45
  4. D 12

Answer: A — 5

One third of 15 means 15 ÷ 3 = 5.

FractionsThird of a number

Q45. hard

Which fraction is the same as one quarter?

  1. A 2/8
  2. B 1/2
  3. C 3/4
  4. D 1/3

Answer: A — 2/8

2/8 means 2 parts out of 8, which is the same amount as 1/4. So 2/8 = 1/4.

FractionsEqual fractions

Q47. hard

There are 8 balloons. One quarter of them burst. How many burst?

  1. A 2
  2. B 4
  3. C 8
  4. D 6

Answer: A — 2

One quarter of 8 means 8 ÷ 4 = 2 balloons burst.

FractionsWord problem

Q49. hard

Add: 2/6 + 3/6

  1. A 5/6
  2. B 5/12
  3. C 6/6
  4. D 1/6

Answer: A — 5/6

With the same denominator, add the numerators: 2/6 + 3/6 = 5/6.

FractionsAdding

Q51. hard

Subtract: 4/5 - 2/5

  1. A 2/5
  2. B 2/0
  3. C 6/5
  4. D 2/10

Answer: A — 2/5

With the same denominator, subtract the numerators: 4/5 - 2/5 = 2/5.

FractionsSubtracting

Q53. hard

What is one quarter of 8?

  1. A 2
  2. B 4
  3. C 8
  4. D 32

Answer: A — 2

One quarter of 8 means 8 ÷ 4 = 2.

FractionsQuarter of a number

Q55. hard

There are 10 pencils. Half are red. How many red pencils?

  1. A 5
  2. B 2
  3. C 10
  4. D 20

Answer: A — 5

Half of 10 is 10 ÷ 2 = 5 red pencils.

FractionsHalf of a group

Q57. hard

Ravi ate 2/8 of a cake and Sita ate 3/8. How much did they eat together?

  1. A 5/8
  2. B 5/16
  3. C 6/8
  4. D 1/8

Answer: A — 5/8

Add the numerators (same denominator): 2/8 + 3/8 = 5/8.

FractionsAddingWord problem

Q58. hard

Which overall statement about fractions is CORRECT?

  1. A A fraction shows equal parts of a whole; the numerator (top) tells how many parts we take and the denominator (bottom) tells how many equal parts the whole has
  2. B Fractions use unequal parts
  3. C The top number tells the total parts
  4. D 1/4 is bigger than 1/2

Answer: A — A fraction shows equal parts of a whole; the numerator (top) tells how many parts we take and the denominator (bottom) tells how many equal parts the whole has

This sums up the topic: fractions like 1/2, 1/3 and 3/4 show equal parts of a whole; the numerator counts the parts taken and the denominator counts the total equal parts; and with the same top number, a bigger bottom number means a smaller piece.

FractionsSummary

Q60. hard

A jug is filled to 2/4. What simpler fraction is the same amount?

  1. A 1/2
  2. B 1/4
  3. C 3/4
  4. D 2/2

Answer: A — 1/2

2/4 means 2 parts out of 4, which is the same as 1 part out of 2. So 2/4 = 1/2.

FractionsEqual fractions

Practice “Fractions” as a quiz