Word Problem: Fractions - 1 | Mathematics for Class 3 PDF Download

Q.1. Gilly and Luke went to the school library one fine morning. They planned to read books that day and borrow books to read during the winter.
Of the 10 books on fairy tales, Gilly borrowed 3. What fraction of the books on fairy tales did she borrow?

3 out of 10 = 3/10
Gilly borrowed 3/10 of the fairy tale books.

Q.2. Gilly and Luke went to the school library one fine morning. They planned to read books that day and borrow books to read during the winter.
Luke saw 9 books about the Solar System and its 9 planets. These were thick books and so he thought that 2 of these would be enough. What fraction of the solar system books did he borrow?

2 out of 9 = 2/9
He borrowed 2/9 of the solar system books.

Q.3. Gilly and Luke went to the school library one fine morning. They planned to read books that day and borrow books to read during the winter.
Lastly, Gilly and Luke found a book on Greek mythology and the 12 most important Greek myths. The book had 120 pages.  Gilly and Luke read 40 pages of the book. What fraction of the book did they read?

40 out of 120 = 40/120 = 1/3
They read 1/3 of the Greek mythology book.

Q.4. Gilly and Luke went to the school library one fine morning. They planned to read books that day and borrow books to read during the winter.
Gilly found 15 books on underwater life and brought 7 of these to the table. What fraction of the books on underwater life did she bring to the table?

7 out of 15 = 7/15
She brought 7/15 of the books on underwater to the nearest table.

Q.5. Gilly and Luke went to the school library one fine morning. They planned to read books that day and borrow books to read during the winter.
Luke also checked out books about land and sea animals. There were 20 books on land animals and 4 books on sea animals. He chose to borrow 7 books on animals. What fraction of the books on animals did Luke borrow?

Total number of books on animals = 20 + 4 = 24
Number of books on animals borrowed = 7
Luke borrowed 7/20 of the books on land animals.

Q.6. Diego, Roy, and Travis spent one sunny Saturday in their tree house to play marbles, cards, and cars.
Diego brought his bag of marbles and found that 4 of his 24 marbles are blue. What fraction of Diego’s marbles is blue?

4 out of 24 = 4/24 or simple 1/6
1/6 of Diego’s marbles are blue.

Q.7. Diego, Roy, and Travis spent one sunny Saturday in their tree house to play marbles, cards, and cars.
Between Diego and Roy’s collection of marbles, which of the two has a greater fraction of blue marbles?

1/3 is equivalent to 2/6, 2/6 > 1/6
Roy has the greater fraction of blue marbles.

Q.8. Diego, Roy, and Travis spent one sunny Saturday in their tree house to play marbles, cards, and cars.
Roy and Travis brought their matchbox cars. Roy has 12 matchbox cars, 3 of which are red while Travis has 10 matchbox cars, 5 of which are also red. Which of the two has a greater fraction of red matchbox cars?

Roy:  3 out of 12 = 3/12 or 1/4;
Travis:  5 out of 10 = 5/10 or 1/2 or 2/4
2/4 > 1/4; Travis has the greater fraction of red cars.

Q.9. Diego, Roy, and Travis spent one sunny Saturday in their tree house to play marbles, cards, and cars.
Roy also brought his bag of marbles. Of his 30 marbles, 10 are also blue. What fraction of Roy’s marbles is blue?

10 out of 30 = 10/30 or simply 1
1/3 of Roy’s marbles are blue.

Q.10. Diego, Roy, and Travis spent one sunny Saturday in their tree house to play marbles, cards, and cars.
Diego and Travis brought their hockey cards. Diego has 20 cards, 8 of which are members of the famous Hockmasters while Travis has 15 cards, 3 of which are members of the same team. Which of the two has the greater fraction of Hockmasters cards in their deck?

Diego:  8 out of 20 = 8/20 or 2/5
Roy:  3 out of 15 = 3/15 or 1/5
2/5 > 1/5; Diego has the greater fraction of the Hockmasters cards.

Q.11. Laurice and her parents went to a local grocery one afternoon to buy food for the stormy week ahead.
Laurice is fond of fruits, so he went to the fruit section and saw that there was one crate with 24 red juicy apples. She asked her mom to buy 5 of these. What fraction of the apples did they buy?

5 out of 24 = 5/24
They bought 5/24 of the apples in the crate.

Q.12. Laurice and her parents went to a local grocery one afternoon to buy food for the stormy week ahead.
Of the 4 lbs of carrots that her mother bought, 1 lb will be used for minestrone and 2 lbs to feed their rabbits. What fraction of the carrots will be used for minestrone?

1 out of 4 = 1/4
A total of 1/4 of the carrots will be used for minestrone.

Q.13. Laurice and her parents went to a local grocery one afternoon to buy food for the stormy week ahead.
Laurice’s father wanted to have citrus cream pie and so he bought one from the baker’s corner. If they consumed 5 of the 8 equal slices of the citrus cream pie, what part of the pie was left?

5 out of 8 = 5/8, that means 3 out of 8 was left = 3/8
3/8 of the pie was left unconsumed.

Q.14. Laurice and her parents went to a local grocery one afternoon to buy food for the stormy week ahead.
Laurice’s mother bought 1 bag of flour which weighs 10 lbs. She will use 3 lbs to make pancakes for breakfast the next day. What fraction of the bag of flour will she use to make pancakes?

3 out of 10 = 3/10
She will use 3/10 of the bag of flour to make pancakes.

Q.15. Laurice and her parents went to a local grocery one afternoon to buy food for the stormy week ahead.
Laurice and her parents were fond of having cheese in their meals, so they bought one big block of cheese. If 1 of the 6 slices of the block of cheese will be used for lasagna and the remaining slices will be used for pizza, what portion of the block of cheese will be used for lasagna and what fraction for pizza?

Lasagna:  1 out of 6 = 1/6
About 1/6 of the block of cheese will be used for lasagna.
Pizza:  6 – 1 = 5 slices
5/6 of the block of cheese will be used for pizza.