CBSE Class 3 Mathematics Fractions Worksheet Set 05

I) Fill in the blanks :

Question 1. Part of a whole is called a ___________________________
Answer: fraction
In simple words: A fraction represents a portion of a complete item or group.

Exam Tip: Remember the basic definition of fractions as equal parts of a whole.

Question 2. The number above the bar is called _____________________________
Answer: numerator
In simple words: The top number tells us how many parts we are taking.

Exam Tip: Think of 'N' in numerator for 'North' (top).

Question 3. The number below the bar is called _____________________
Answer: denominator
In simple words: The bottom number shows the total equal parts the whole is divided into.

Exam Tip: Think of 'D' in denominator for 'Down' (bottom).

Question 4. The number \(\frac{2}{5}\) is read as _______________________
Answer: two-fifths
In simple words: Numerator is read as a cardinal number and denominator as an ordinal number.

Exam Tip: Always use plural form for denominators greater than 1 when the numerator is greater than 1.

Question 5. Fractions having same denominator are called ____________________
Answer: like fractions
In simple words: Fractions with identical bottom numbers are like fractions.

Question 6. If two fractions have the ________________ denominators then the fraction with greater numerator is greater fraction.
Answer: same
In simple words: When denominators are equal, simply compare the numerators.

Exam Tip: Larger numerator means a larger value for like fractions.

Question 7. Sum of fractions having same denominator is \(\frac{\text{Sum of numerators}}{\text{Denominator}}\)
Answer: Sum of numerators over the common denominator
In simple words: Add the top numbers together and keep the bottom number the same.

Exam Tip: Never add denominators when adding fractions!

Question 8. Difference between two fractions having same denominator is \(\frac{\text{Difference of numerators}}{\text{Denominator}}\)
Answer: Difference of numerators over the common denominator
In simple words: Subtract the top numbers and keep the bottom number unchanged.

Exam Tip: Keep the denominator constant during subtraction of like fractions.

Colour the fraction as indicated :

Question 9. Colour \(\frac{6}{12}\) of the circles.
Answer: Shade 6 out of the 12 circles given in the first box.
In simple words: Colour exactly 6 circles.

Exam Tip: Count carefully before colouring.

Question 10. Colour \(\frac{3}{6}\) of the stars.
Answer: Shade 3 out of the 6 stars given in the second box.
In simple words: Colour 3 stars.

Exam Tip: \(\frac{3}{6}\) simplifies to half, so colour half the stars.

Question 11. Colour \(\frac{7}{8}\) of the rectangles.
Answer: Shade 7 out of the 8 rectangular boxes given in the third box.
In simple words: Colour 7 rectangles, leaving 1 uncoloured.

Exam Tip: Total count is 8 rectangles.

Question 12. Colour \(\frac{5}{11}\) of the triangles.
Answer: Shade 5 out of the 11 triangles given in the fourth box.
In simple words: Colour 5 triangles.

Exam Tip: Verify total triangle count is 11.

Give the fractions for the shaded part of each :

Question 13. Write the fraction for the first shaded rectangle figure.
Answer: \(\frac{1}{4}\)
In simple words: 1 part is shaded out of 4 equal parts.

Exam Tip: Count shaded parts for numerator and total parts for denominator.

Question 14. Write the fraction for the circle divided into 8 parts with dotted shading.
Answer: \(\frac{4}{8}\)
In simple words: 4 parts are dotted out of 8 equal sectors.

Question 15. Write the fraction for the triangle divided into 2 parts.
Answer: \(\frac{1}{2}\)
In simple words: 1 half is shaded out of 2 parts.

Exam Tip: Check symmetry of parts.

Question 16. Write the fraction for the circle divided into 8 parts with dots.
Answer: \(\frac{4}{8}\)
In simple words: 4 dotted parts out of 8 total parts.

Exam Tip: Count carefully.

Question 17. Write the fraction for the second circle with dotted sectors.
Answer: \(\frac{4}{8}\)
In simple words: 4 sectors shaded out of 8.

Exam Tip: Ensure all sectors are equal.

Question 18. Write the fraction for the divided rectangular strip with dotted boxes.
Answer: \(\frac{4}{8}\)
In simple words: 4 dotted sections out of 8.

Exam Tip: Count grid segments.

Question 19. Write the fraction for the grid with 4 equal rectangles.
Answer: \(\frac{2}{4}\)
In simple words: 2 rectangles shaded out of 4.

Exam Tip: Equivalent to \(\frac{1}{2}\).

Question 20. Write the fraction for the checkered pattern strip.
Answer: \(\frac{4}{8}\)
In simple words: 4 checkered squares out of 8.

Exam Tip: Count checkered patterns.

Shade the portion indicated in each figure :

Question 21. Shade \(\frac{6}{8}\) of the rectangular grid.
Answer: Shade 6 small rectangles out of 8.
In simple words: Leave 2 unshaded and colour 6.

Exam Tip: Verify total blocks equals 8.

Question 22. Shade \(\frac{2}{6}\) of the rectangular grid.
Answer: Shade 2 blocks out of 6.
In simple words: Colour 2 out of 6 sections.

Exam Tip: Total blocks = 6.

Question 23. Shade \(\frac{3}{4}\) of the grid.
Answer: Shade 3 blocks out of 4.
In simple words: Colour 3 parts.

Exam Tip: Leave 1 block unshaded.

Question 24. Shade \(\frac{1}{2}\) of the grid.
Answer: Shade 1 row or 1 half out of 2 equal halves.
In simple words: Colour half the figure.

Exam Tip: Half means 1 out of 2 parts.

Question 25. Shade \(\frac{7}{10}\) of the diamond chain.
Answer: Shade 7 diamonds out of 10.
In simple words: Colour 7 shapes.

Exam Tip: Count total diamonds carefully.

Question 26. Shade \(\frac{4}{6}\) of the diamond chain.
Answer: Shade 4 diamonds out of 6.
In simple words: Colour 4 shapes.

Exam Tip: 4 out of 6 parts shaded.

Question 27. Shade \(\frac{1}{4}\) of the circle.
Answer: Shade 1 quarter sector of the circle.
In simple words: Colour 1 part out of 4.

Question 28. Shade \(\frac{3}{5}\) of the connected square blocks.
Answer: Shade 3 squares out of 5.
In simple words: Colour 3 squares.

Exam Tip: Total blocks = 5.

Shade the correct fraction of each collection :

Question 29. Shade \(\frac{16}{20}\) of the soccer ball collection.
Answer: Shade 16 balls out of 20 total balls.
In simple words: Leave 4 balls unshaded and colour 16.

Exam Tip: Total items = 20.

Question 30. Shade \(\frac{4}{6}\) of the balloon collection.
Answer: Shade 4 balloons out of 6.
In simple words: Colour 4 balloons.

Exam Tip: Total balloons = 6.

Question 31. Shade \(\frac{5}{12}\) of the smiley face collection.
Answer: Shade 5 smiley faces out of 12.
In simple words: Colour 5 smileys.

Exam Tip: Total smileys = 12.

Question 32. Shade \(\frac{7}{11}\) of the cup collection.
Answer: Shade 7 cups out of 11.
In simple words: Colour 7 cups.

Exam Tip: Total cups = 11.

Fill in the blanks :

Question 33. a) \(\frac{7}{9} = \frac{\text{Numerator}}{\text{Denominator}}\)
Answer: Numerator = 7, Denominator = 9
In simple words: Top number is 7, bottom number is 9.

Exam Tip: Identify parts directly from the fraction.

Question 34. b) \(\frac{5}{10} = \frac{\text{Numerator}}{\text{Denominator}}\)
Answer: Numerator = 5, Denominator = 10
In simple words: Top number is 5, bottom number is 10.

Question 35. c) \(\frac{1}{6} = \frac{\text{Numerator}}{\text{Denominator}}\)
Answer: Numerator = 1, Denominator = 6
In simple words: Top number is 1, bottom number is 6.

Exam Tip: Numerator is 1, Denominator is 6.

Question 36. d) \(\frac{4}{7} = \frac{\text{Numerator}}{\text{Denominator}}\)
Answer: Numerator = 4, Denominator = 7
In simple words: Top number is 4, bottom number is 7.

Exam Tip: Numerator is 4, Denominator is 7.

Write the factors whose :

Question 37. a) Numerator 6 Denominator 8
Answer: \(\frac{6}{8}\)
In simple words: Write numerator on top and denominator on bottom.

Exam Tip: Standard fraction notation places numerator over denominator.

Question 38. b) Numerator 4 Denominator 7
Answer: \(\frac{4}{7}\)
In simple words: 4 over 7.

Exam Tip: 4 is numerator, 7 is denominator.

Question 39. c) Numerator 5 Denominator 9
Answer: \(\frac{5}{9}\)
In simple words: 5 over 9.

Exam Tip: 5 is numerator, 9 is denominator.

Question 40. d) Numerator 11 Denominator 15
Answer: \(\frac{11}{15}\)
In simple words: 11 over 15.

Exam Tip: 11 is numerator, 15 is denominator.

Write in words :

Question 41. a) \(\frac{1}{8} =\)
Answer: One-eighth
In simple words: 1 part out of 8.

Exam Tip: Use ordinal numbers for denominators.

Question 42. b) \(\frac{5}{7} =\)
Answer: Five-sevenths
In simple words: 5 parts out of 7.

Exam Tip: Plural 'sevenths' since numerator is 5.

Question 43. c) \(\frac{4}{5} =\)
Answer: Four-fifths
In simple words: 4 parts out of 5.

Exam Tip: 5 is read as 'fifths'.

Question 44. d) \(\frac{1}{2} =\)
Answer: One-half
In simple words: 1 part out of 2.

Exam Tip: Denominator 2 is specifically called 'half'.

Write the fractions in figures :

Question 45. a) Two - sevenths =
Answer: \(\frac{2}{7}\)
In simple words: Two on top, seven on bottom.

Exam Tip: Translate word form directly into numerical fraction.

Question 46. b) One - half =
Answer: \(\frac{1}{2}\)
In simple words: One over two.

Exam Tip: Half means denominator 2.

Question 47. c) Four - twelfth =
Answer: \(\frac{4}{12}\)
In simple words: Four over twelve.

Exam Tip: Twelfth corresponds to 12 in the denominator.

Question 48. d) Five - fifteenth =
Answer: \(\frac{5}{15}\)
In simple words: Five over fifteen.

Exam Tip: Fifteenth corresponds to 15.

Question 49. e) Three - ninth =
Answer: \(\frac{3}{9}\)
In simple words: Three over nine.

Exam Tip: Ninth corresponds to 9.

Put the correct sign ( < , > or = ) in each :

Question 50. a) \(\frac{4}{7} \square \frac{3}{7}\)
Answer: \(\frac{4}{7} > \frac{3}{7}\)
In simple words: Since denominators are equal, compare numerators 4 and 3. Since 4 is greater, \(\frac{4}{7} > \frac{3}{7}\).

Exam Tip: Compare numerators when denominators are the same.

Question 51. b) \(\frac{6}{8} \square \frac{5}{8}\)
Answer: \(\frac{6}{8} > \frac{5}{8}\)
In simple words: 6 is greater than 5, so \(\frac{6}{8} > \frac{5}{8}\).

Exam Tip: Larger numerator wins with like denominators.

Question 52. c) \(\frac{1}{2} \square \frac{3}{2}\)
Answer: \(\frac{1}{2} < \frac{3}{2}\)
In simple words: 1 is less than 3, so \(\frac{1}{2} < \frac{3}{2}\).

Exam Tip: Check numerator values directly.

Question 53. d) \(\frac{3}{14} \square \frac{9}{14}\)
Answer: \(\frac{3}{14} < \frac{9}{14}\)
In simple words: 3 is less than 9, so \(\frac{3}{14} < \frac{9}{14}\).

Exam Tip: Denominators are both 14.

Question 54. e) \(\frac{7}{12} \square \frac{10}{12}\)
Answer: \(\frac{7}{12} < \frac{10}{12}\)
In simple words: 7 is smaller than 10, so \(\frac{7}{12} < \frac{10}{12}\).

Exam Tip: Compare 7 and 10.

Question 55. f) \(\frac{2}{3} \square \frac{1}{3}\)
Answer: \(\frac{2}{3} > \frac{1}{3}\)
In simple words: 2 is greater than 1, so \(\frac{2}{3} > \frac{1}{3}\).

Exam Tip: Greater numerator means greater fraction.

Arrange in ascending order :

Question 56. a) \(\frac{7}{11}, \frac{5}{11}, \frac{9}{11}, \frac{4}{11}\)
Answer: \(\frac{4}{11}, \frac{5}{11}, \frac{7}{11}, \frac{9}{11}\)
In simple words: Arrange numerators from smallest to largest: 4, 5, 7, 9.

Exam Tip: Ascending order means smallest to largest.

Question 57. b) \(\frac{3}{8}, \frac{7}{8}, \frac{6}{8}, \frac{5}{8}\)
Answer: \(\frac{3}{8}, \frac{5}{8}, \frac{6}{8}, \frac{7}{8}\)
In simple words: Order numerators 3, 5, 6, 7.

Exam Tip: Denominator is 8 for all terms.

Question 58. c) \(\frac{12}{19}, \frac{16}{19}, \frac{10}{19}, \frac{9}{19}\)
Answer: \(\frac{9}{19}, \frac{10}{19}, \frac{12}{19}, \frac{16}{19}\)
In simple words: Order numerators from least to greatest: 9, 10, 12, 16.

Exam Tip: Double check each numerator value.

Arrange in descending order :

Question 59. a) \(\frac{8}{11}, \frac{5}{11}, \frac{9}{11}, \frac{7}{11}\)
Answer: \(\frac{9}{11}, \frac{8}{11}, \frac{7}{11}, \frac{5}{11}\)
In simple words: Arrange numerators from largest to smallest: 9, 8, 7, 5.

Exam Tip: Descending order means largest to smallest.

Question 60. b) \(\frac{5}{13}, \frac{8}{13}, \frac{9}{13}, \frac{12}{13}\)
Answer: \(\frac{12}{13}, \frac{9}{13}, \frac{8}{13}, \frac{5}{13}\)
In simple words: Order numerators 12, 9, 8, 5.

Exam Tip: Highest numerator comes first in descending order.

Question 61. c) \(\frac{14}{25}, \frac{16}{25}, \frac{19}{25}, \frac{24}{25}\)
Answer: \(\frac{24}{25}, \frac{19}{25}, \frac{16}{25}, \frac{14}{25}\)
In simple words: Order numerators from greatest to least: 24, 19, 16, 14.

Question 62. a) \(\frac{5}{7} + \frac{1}{7} =\)
Answer: \(\frac{5 + 1}{7} = \frac{6}{7}\)
In simple words: Add top numbers 5 and 1 to get 6, keep denominator 7.

Exam Tip: Only add numerators for like fractions.

Question 63. b) \(\frac{9}{15} + \frac{2}{15} =\)
Answer: \(\frac{9 + 2}{15} = \frac{11}{15}\)
In simple words: Add 9 and 2 to get 11 over 15.

Exam Tip: Keep denominator 15 unchanged.

Question 64. c) \(\frac{4}{20} + \frac{13}{20} =\)
Answer: \(\frac{4 + 13}{20} = \frac{17}{20}\)
In simple words: Add 4 and 13 to get 17 over 20.

Exam Tip: Denominator remains 20.

Question 65. d) \(\frac{10}{17} + \frac{2}{17} + \frac{1}{17} =\)
Answer: \(\frac{10 + 2 + 1}{17} = \frac{13}{17}\)
In simple words: Add all three numerators: \(10 + 2 + 1 = 13\), over 17.

Exam Tip: Rule applies to any number of like fractions.

Question 66. e) \(\frac{2}{15} + \frac{7}{15} + \frac{5}{15} =\)
Answer: \(\frac{2 + 7 + 5}{15} = \frac{14}{15}\)
In simple words: Add numerators \(2 + 7 + 5 = 14\), over 15.

Exam Tip: Sum of numerators is 14.

Question 67. f) \(\frac{3}{14} + \frac{8}{14} + \frac{2}{14} =\)
Answer: \(\frac{3 + 8 + 2}{14} = \frac{13}{14}\)
In simple words: Add numerators \(3 + 8 + 2 = 13\), over 14.

Exam Tip: Keep denominator 14.

Question 68. g) \(\frac{5}{8} + \frac{3}{8} =\)
Answer: \(\frac{5 + 3}{8} = \frac{8}{8} = 1\)
In simple words: \(5 + 3 = 8\), so \(\frac{8}{8}\) equals 1 whole.

Exam Tip: When numerator equals denominator, the fraction equals 1.

Subtract the following :

Question 69. a) \(\frac{9}{23} - \frac{7}{23} =\)
Answer: \(\frac{9 - 7}{23} = \frac{2}{23}\)
In simple words: Subtract 7 from 9 to get 2, over 23.

Exam Tip: Subtract only numerators and keep denominator same.

Question 70. b) \(\frac{11}{15} - \frac{9}{15} =\)
Answer: \(\frac{11 - 9}{15} = \frac{2}{15}\)
In simple words: Subtract 9 from 11 to get 2, over 15.

Exam Tip: Denominator remains 15.

Question 71. c) \(\frac{12}{13} - \frac{5}{13} =\)
Answer: \(\frac{12 - 5}{13} = \frac{7}{13}\)
In simple words: Subtract 5 from 12 to get 7, over 13.

Exam Tip: Denominator remains 13.

Question 72. d) \(\frac{8}{12} - \frac{4}{12} =\)
Answer: \(\frac{8 - 4}{12} = \frac{4}{12}\)
In simple words: Subtract 4 from 8 to get 4, over 12.

Exam Tip: Denominator remains 12.

Question 73. e) \(\frac{7}{17} - \frac{3}{17} =\)
Answer: \(\frac{7 - 3}{17} = \frac{4}{17}\)
In simple words: Subtract 3 from 7 to get 4, over 17.

Exam Tip: Denominator remains 17.

Question 74. f) \(\frac{19}{25} - \frac{4}{25} =\)
Answer: \(\frac{19 - 4}{25} = \frac{15}{25}\)
In simple words: Subtract 4 from 19 to get 15, over 25.

Exam Tip: Keep denominator 25 unchanged.