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CBSE Class 6: Fraction Word Problems

Here are 20 word problems based on the topic of Fractions, keeping the Indian context and CBSE curriculum in mind.

Instructions: Read each problem carefully and show your steps. Write the final answer in its simplest form.

  1. Reading a Book: Anjali read 25 pages of a book containing 100 pages. What fraction of the book has she read?
  2. Daily Routine: Seema spends 8 hours of a day sleeping. What fraction of the day does she spend sleeping? (Hint: A day has 24 hours).
  3. Sharing Rotis: Ritu ate 3/5 of a roti and her brother Somu ate 1/5 of the same roti. What fraction of the roti did they eat altogether?
  4. Homework Comparison: Ajay finished 7/10 of his homework, while Vikram finished 3/4 of his homework. Who finished more homework?
  5. Gardening: A gardener planted flowers in his rectangular garden. He planted roses in 1/3 of the garden and marigolds in 2/5 of the garden. What fraction of the garden is covered with flowers?
  6. Milk Supply: A milkman had 50 litres of milk. He sold 35 litres. What fraction of the total milk is left with him?
  7. Journey to School: Meena walks 3/8 of a kilometre to her school, and then takes a bus for 1/2 a kilometre. How far is her school from her home?
  8. Fabric for a Dress: A tailor had a piece of cloth that was 7 ½ metres long. He used 3 ¼ metres to stitch a dress. How much cloth is left?
  9. Class Composition: In a class of 48 students, 2/3 are girls. How many boys are there in the class?
  10. Water Bottle: A water bottle can hold 1 litre of water. If Ram drank 1/4 litre and Geeta drank 3/8 litre from it, how much water is left in the bottle?
  11. Cricket Match Overs: In a cricket match of 20 overs, a team scored runs at a rate of 6 runs per over for the first 15 overs. For the remaining overs, they scored at 8 runs per over. What fraction of the total overs was bowled at the higher scoring rate?
  12. Spending Pocket Money: Arjun receives ₹200 as pocket money. He spends 1/4 on snacks and 1/5 on stationery. How much money does he have left?
  13. Fruit Basket: A fruit basket contains 36 fruits. 1/3 are apples, 1/4 are oranges, and the rest are bananas. How many bananas are in the basket?
  14. Painting a Wall: A painter painted 1/2 of a wall white and 1/3 of the remaining portion yellow. What fraction of the total wall is painted yellow?
  15. Ribbon Cutting: A ribbon is 3 1/3 metres long. If it is cut into 5 equal pieces, what is the length of each piece?
  16. Filling a Tank: Pipe A can fill 1/10 of a tank in one hour and Pipe B can fill 1/12 of the same tank in one hour. If both pipes are opened, what fraction of the tank will be filled in one hour?
  17. Journey by Different Modes: Mr. Sharma travelled 1/2 of his journey by car, 1/3 by train, and the rest by scooter. What fraction of the journey did he travel by scooter?
  18. Comparing Weights: A bag of rice weighs 5 1/2 kg and a bag of wheat weighs 7 1/4 kg. Which bag is heavier and by how much?
  19. Election Results: In a school election, candidate A got 3/5 of the votes and candidate B got 1/4 of the votes. What fraction of the students did not vote for either A or B?
  20. Making Lassi: To make lassi, you need 2 ½ cups of yogurt and 3/4 cup of milk. How much more yogurt than milk is needed for the recipe?

Answer Key

  1. 25/100 = 1/4
  2. 8/24 = 1/3
  3. 3/5 + 1/5 = 4/5
  4. 7/10 = 14/20; 3/4 = 15/20. So, 3/4 > 7/10. Vikram finished more.
  5. 1/3 + 2/5 = 5/15 + 6/15 = 11/15
  6. Milk left = 50 – 35 = 15 litres. Fraction left = 15/50 = 3/10
  7. 3/8 + 1/2 = 3/8 + 4/8 = 7/8 km
  8. 7 ½ – 3 ¼ = 15/2 – 13/4 = 30/4 – 13/4 = 17/4 = 4 ¼ metres
  9. Girls = (2/3) * 48 = 32. Boys = 48 – 32 = 16.
  10. Water drank = 1/4 + 3/8 = 2/8 + 3/8 = 5/8 litre. Water left = 1 – 5/8 = 3/8 litre.
  11. Remaining overs = 20 – 15 = 5 overs. Fraction = 5/20 = 1/4
  12. Spent = (1/4)*200 + (1/5)*200 = 50 + 40 = ₹90. Money left = 200 – 90 = ₹110.
  13. Apples = 12, Oranges = 9. Total apples and oranges = 21. Bananas = 36 – 21 = 15.
  14. Remaining portion after white paint = 1 – 1/2 = 1/2. Yellow paint = 1/3 of 1/2 = 1/6 of the total wall.
  15. 3 1/3 = 10/3 metres. Length of each piece = (10/3) / 5 = 10/15 = 2/3 metre.
  16. 1/10 + 1/12 = 6/60 + 5/60 = 11/60
  17. 1 – (1/2 + 1/3) = 1 – (3/6 + 2/6) = 1 – 5/6 = 1/6
  18. 7 ¼ – 5 ½ = 29/4 – 11/2 = 29/4 – 22/4 = 7/4 = 1 ¾ kg. The bag of wheat is heavier by 1 ¾ kg.
  19. 1 – (3/5 + 1/4) = 1 – (12/20 + 5/20) = 1 – 17/20 = 3/20
  20. 2 ½ – 3/4 = 5/2 – 3/4 = 10/4 – 3/4 = 7/4 = 1 ¾ cups.
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