1. Vaishnavi is helping her mother prepare food for a family gathering. In the morning, they used 3 2/5 kg of flour, and later they used another 2 3/4 kg of flour to prepare sweets. How much flour did they use altogether?
3 2/5 + 2 3/4
= 17/5 + 11/4
= 68/20 + 55/20
= 123/20
= 6 3/20 kg
2. A farmer harvested 5 1/3 tonnes of wheat from one field and 3 5/8 tonnes from another field. He sold some of the wheat during the week and kept 2 1/4 tonnes in storage. How much wheat was left after the amount sold?
5 1/3 + 3 5/8 – 2 1/4
= 16/3 + 29/8 – 9/4
= 128/24 + 87/24 – 54/24
= 161/24
= 6 17/24 tonnes
3. During a school celebration, Vaishnavi prepared 4 1/2 litres of fruit juice in the morning and another 3 2/3 litres in the afternoon. By the end of the celebration, 2 5/6 litres had been served to the students. How much juice was left?
4 1/2 + 3 2/3 – 2 5/6
= 9/2 + 11/3 – 17/6
= 27/6 + 22/6 – 17/6
= 32/6
= 5 1/3 litres
4. A bakery prepares one large batch of cookies using 2 3/4 kg of flour. If the bakery prepares 5/6 of this amount for a smaller order, how much flour will be required for the smaller order?
2 3/4 × 5/6
= 11/4 × 5/6
= 55/24
= 2 7/24 kg
5. A shopkeeper had 10 1/2 kg of rice in his store. During the first two days, he sold 3 3/4 kg and then another 2 2/5 kg. How much rice remained in the store after these sales?
10 1/2 – 3 3/4 – 2 2/5
= 21/2 – 15/4 – 12/5
= 210/20 – 75/20 – 48/20
= 87/20
= 4 7/20 kg
6. A gardener has a long piece of rope measuring 9 3/4 metres. He wants to cut it into equal pieces, with each piece measuring 3/4 metre. How many complete pieces can he make from the rope?
9 3/4 ÷ 3/4
= 39/4 ÷ 3/4
= 39/4 × 4/3
= 13 pieces
7. Vaishnavi is reading a storybook during her holidays. On the first day, she reads 1/4 of the book, and on the second day, she reads 2/5 of the book. What fraction of the book is still unread after these two days?
1 – 1/4 – 2/5
= 20/20 – 5/20 – 8/20
= 7/20
8. A water tank contains 14 2/5 litres of water. During the morning, 3 1/4 litres are used, and during the afternoon, another 2 3/5 litres are used. How much water remains in the tank?
14 2/5 – 3 1/4 – 2 3/5
= 72/5 – 13/4 – 13/5
= 288/20 – 65/20 – 52/20
= 171/20
= 8 11/20 litres
9. A farmer uses 3/8 of his field for growing wheat and 1/4 of the same field for vegetables. The remaining part is kept for growing pulses. What fraction of the entire field is used for pulses?
1 – 3/8 – 1/4
= 8/8 – 3/8 – 2/8
= 3/8
10. A tailor has 8 1/2 metres of cloth. He uses 2 3/4 metres for making shirts and 1 5/8 metres for making a school uniform. How much cloth is still available?
8 1/2 – 2 3/4 – 1 5/8
= 17/2 – 11/4 – 13/8
= 68/8 – 22/8 – 13/8
= 33/8
= 4 1/8 metres
11. A restaurant prepares 12 1/2 litres of soup for a busy evening. During the first serving, 3 2/3 litres are used, and later another 2 1/4 litres are served. How much soup is left?
12 1/2 – 3 2/3 – 2 1/4
= 25/2 – 11/3 – 9/4
= 150/12 – 44/12 – 27/12
= 79/12
= 6 7/12 litres
12. Vaishnavi has 5 1/4 metres of decorative ribbon for a school project. She uses 2/3 of the ribbon for the main decoration. How much ribbon does she use for the main decoration?
5 1/4 × 2/3
= 21/4 × 2/3
= 42/12
= 3 1/2 metres
13. A baker has 7 2/3 kg of flour available for preparing cakes. He uses 2 1/5 kg in the morning and 1 3/4 kg in the afternoon. How much flour remains for the next day?
7 2/3 – 2 1/5 – 1 3/4
= 23/3 – 11/5 – 7/4
= 460/60 – 132/60 – 105/60
= 223/60
= 3 43/60 kg
14. A school needs to prepare equal packets of craft material. Each packet requires 3/8 kg of material. If the teacher has 6 3/4 kg of material, how many complete packets can be prepared?
6 3/4 ÷ 3/8
= 27/4 × 8/3
= 18 packets
15. A fruit seller has 15 1/2 kg of apples. He sells 4 3/4 kg in the morning and 3 2/5 kg in the evening. How many kilograms of apples are left with him?
15 1/2 – 4 3/4 – 3 2/5
= 31/2 – 19/4 – 17/5
= 310/20 – 95/20 – 68/20
= 147/20
= 7 7/20 kg
16. Vaishnavi is preparing lemonade for a school picnic. She has 2 3/4 litres of lemon juice and mixes it with 1 5/6 litres of another juice. If she uses 1 1/4 litres of the mixture while serving the first group, how much mixture remains?
2 3/4 + 1 5/6 – 1 1/4
= 11/4 + 11/6 – 5/4
= 33/12 + 22/12 – 15/12
= 40/12
= 3 1/3 litres
17. A carpenter has a wooden plank measuring 6 2/3 metres. He cuts off 1 3/4 metres for one shelf and 2 1/6 metres for another shelf. How much wood is left?
6 2/3 – 1 3/4 – 2 1/6
= 20/3 – 7/4 – 13/6
= 40/6 – 21/12 – 26/12
= 80/12 – 21/12 – 26/12
= 33/12
= 2 3/4 metres
18. A school garden receives 3 1/2 litres of water every morning for one section. If the gardener waters the same section for 4 days, how much water is used in total?
3 1/2 × 4
= 7/2 × 4
= 14 litres
19. A ribbon roll is 8 1/4 metres long. A teacher wants to divide it equally among 5 students so that each student gets the same amount for an art project. How much ribbon will each student receive?
8 1/4 ÷ 5
= 33/4 ÷ 5
= 33/20
= 1 13/20 metres
20. A dairy collects 9 2/3 litres of milk in the morning and 7 3/4 litres in the evening. After delivering 5 1/2 litres to a nearby shop, how much milk remains?
9 2/3 + 7 3/4 – 5 1/2
= 29/3 + 31/4 – 11/2
= 116/12 + 93/12 – 66/12
= 143/12
= 11 11/12 litres
21. Vaishnavi has a large sheet of paper measuring 4 2/5 metres. She uses 3/5 of the sheet to make decorations for a classroom display. How much paper does she use for the decorations?
4 2/5 × 3/5
= 22/5 × 3/5
= 66/25
= 2 16/25 metres
22. A farmer has 18 3/4 kg of seeds. He packs them equally into bags, putting 3/4 kg of seeds in each bag. How many bags can he fill completely?
18 3/4 ÷ 3/4
= 75/4 × 4/3
= 25 bags
23. A library received 6 1/2 boxes worth of books in one shipment and another 4 3/4 boxes worth in a second shipment. If 3 2/5 boxes worth of books were sent to another branch, how much stock remained?
6 1/2 + 4 3/4 – 3 2/5
= 13/2 + 19/4 – 17/5
= 130/20 + 95/20 – 68/20
= 157/20
= 7 17/20 boxes
24. A chef has 11 1/4 litres of cooking oil. He uses 2 2/3 litres for lunch and 1 3/4 litres for dinner preparation. How much oil is left?
11 1/4 – 2 2/3 – 1 3/4
= 45/4 – 8/3 – 7/4
= 38/4 – 8/3
= 19/2 – 8/3
= 57/6 – 16/6
= 6 5/6 litres
25. A school has a large roll of chart paper measuring 12 2/3 metres. The teacher cuts 2 1/4 metres for one class, 3 1/2 metres for another class, and 1 5/6 metres for a project. How much chart paper remains?
12 2/3 – 2 1/4 – 3 1/2 – 1 5/6
= 38/3 – 9/4 – 7/2 – 11/6
= 152/12 – 27/12 – 42/12 – 22/12
= 61/12
= 5 1/12 metres
26. Vaishnavi is making small gift packets for a school event. Each packet needs 2/5 kg of material. If she has 8 2/5 kg of material available, how many complete packets can she prepare?
8 2/5 ÷ 2/5
= 42/5 × 5/2
= 21 packets
27. A fruit vendor has 13 1/2 kg of oranges. He sells 3 3/4 kg before noon and then sells another 2 2/3 kg in the evening. How many kilograms of oranges are still unsold?
13 1/2 – 3 3/4 – 2 2/3
= 27/2 – 15/4 – 8/3
= 162/12 – 45/12 – 32/12
= 85/12
= 7 1/12 kg
28. A painter has 7 1/2 litres of paint. He uses 2/3 of the paint to complete the walls of a classroom. How many litres of paint does he use?
7 1/2 × 2/3
= 15/2 × 2/3
= 5 litres
29. A water tank contains 16 1/4 litres of water. During the day, the family uses 4 2/5 litres for cleaning and 3 3/4 litres for gardening. How much water remains in the tank?
16 1/4 – 4 2/5 – 3 3/4
= 65/4 – 22/5 – 15/4
= 50/4 – 22/5
= 25/2 – 22/5
= 125/10 – 44/10
= 8 1/10 litres
30. A bakery prepares 2 3/4 kg of dough for one batch of bread. On a busy day, the baker prepares 3 1/2 batches. How much dough does the baker need altogether?
2 3/4 × 3 1/2
= 11/4 × 7/2
= 77/8
= 9 5/8 kg
31. A gardener has 10 1/2 metres of fencing wire. He uses 2 3/4 metres around one flower bed and 3 1/5 metres around another. How much wire is still available?
10 1/2 – 2 3/4 – 3 1/5
= 21/2 – 11/4 – 16/5
= 210/20 – 55/20 – 64/20
= 91/20
= 4 11/20 metres
32. A school canteen prepares 9 3/4 litres of juice for a sports event. The juice is poured equally into containers, with each container holding 3/8 litre. How many containers can be filled completely?
9 3/4 ÷ 3/8
= 39/4 × 8/3
= 26 containers
33. Vaishnavi collected 2 2/3 kg of recyclable paper from her classroom and 1 3/4 kg from the library. Later, she collected another 2 1/2 kg from the activity room. What was the total weight of paper she collected?
2 2/3 + 1 3/4 + 2 1/2
= 8/3 + 7/4 + 5/2
= 32/12 + 21/12 + 30/12
= 83/12
= 6 11/12 kg
34. A farmer has 20 1/4 kg of fertilizer. He uses 5 2/3 kg in one field and 4 1/2 kg in another field. He then gives 2 3/4 kg to a neighbouring farmer. How much fertilizer is left?
20 1/4 – 5 2/3 – 4 1/2 – 2 3/4
= 81/4 – 17/3 – 9/2 – 11/4
= 70/4 – 17/3 – 9/2
= 35/2 – 17/3 – 9/2
= 26/2 – 17/3
= 13 – 17/3
= 22/3
= 7 1/3 kg
35. A large container holds 18 2/3 litres of water. Vaishnavi uses 3 1/4 litres for a science activity, 2 2/5 litres for cleaning equipment, and then divides the remaining water equally among 4 smaller containers. How much water is placed in each smaller container?
18 2/3 – 3 1/4 – 2 2/5
= 56/3 – 13/4 – 12/5
= 1120/60 – 195/60 – 144/60
= 781/60
= 13 1/60 litres
Now divide equally among 4 containers:
13 1/60 ÷ 4
= 781/60 ÷ 4
= 781/240
= 3 61/240 litres each