Fractions and Decimals Worksheet

Multiple Choice Questions

1. If you eat th part of a cake every day. In how many days, will you be able to eat the cake completely?
   (a) Two days
   (b) Two and a half days
   (c) Three days
   (d) Three and a half days
   
   
2. While preparing Rangoli for Diwali celebration, Jaya fills  of its part with blue color and make a design with yellow color in the   part of the blue area. Which of the following fractional part represent the area designed with yellow color?
   (a)  
   (b)  
   (c)  
   (d)  
   
   
3. There are 495 pages in a Mathematics book. By the end of August, Heena finished practicing   part of the book. How many pages still remaining for practice?
   (a) 99
   (b) 100
   (c) 395
   (d) 396
   
   
4. Lata has ordered a cold coffee and she drinks  of it in one sip. She then drinks  part from the remaining cold coffee. How much coffee is still left in the glass?
   (a)   part
   (b)    part
   (c)    part
   (d)  part
   
   
5. As the summer vacation starts, every student has got some homework for the next academic year. Rishabh has got a homework to write 500 words essay on any topic of his choice. If he finished writing  of it in 5 days, how many more days will he require to complete the essay?
   (a) 5
   (b) 10
   (c) 15
   (d) 20
   
   
6. Radhika has bought 2 packets of Rava (1 kg in each packet) and divided each kg into equal number of parts. She then prepares Upma by taking  part from the total amount of Rava. Each member of a family took  part from the prepared Upma. How many members are there in the family?
   (a) 8
   (b) 4
   (c) 2
   (d) 1
   
   
7. Length of a red bus is 9.6 m. There are 5 more yellow buses parked in the depot each with length equal to half of the length of red bus. What is the combined length of yellow buses?
   (a) 48 m
   (b) 57.6 m
   (c) 24 m
   (d) 33.6 m
   
   
8. Take any decimal number and divide it by half of 1. The number we get after division
   (a) is same as the number taken
   (b) is double the number taken
   (c) is half of the number taken
   (d) cannot be determined
   
   
9. When we divide a decimal number by 1000 and then by 100, by how many places will the decimal point shift?
   (a) 3 places to the right
   (b) 3 places to the left
   (c) 5 places to the right
   (d) 5 places to the left
   
   
10. Neetu walks 7.5 km in 1 and half hour. How much distance would she cover in 1 hour?
    (a) 2.5 km
    (b) 5 km
    (c) 7.5 m
    (d) 15 km
    
    Subjective Questions
    
    
11. Rajnish has made 50 Gulab jamuns using a 250 grams Gulab jamun powder. He separated  of the total number of Gulab jamuns to distribute among his friends. How many Gulab jamuns are still left?
    
    
12. In every morning walk, Kalpana covers  part of the ground. How much more does she need to walk every day so that the distance covered is a multiple of the length of the ground?
    
    
13. Take a circle and divide it into 4 parts. Now take   the part from one of the 4 parts. Will the resulting fraction be greater than  or  Justify your answer.  
    
    
14. There are 10 classrooms on each floor in a school and distance between each of them is  m. What is the distance between the rightmost and the leftmost classrooms? 
    
    
15. Naina ate   part of the pizza and left the remaining for her family members. If there are 7 members in the family, what part of a complete pizza would each member get?
    
    
16. Divide  by the reciprocal of . What is reciprocal of the resulting fraction?
    
    
17. Eshan went to a super mart and bought 5.5 kg of Sugar. If 1 kg of Sugar is at Rs. 38.5, how much money did Eshan spend for buying Sugar?
    
    
18. Three straight wood scales of lengths 5.6 cm, 10.8 cm and 9.4 cm are joined using fevicol. If we then break this large scale into 4 small scales of equal length, what is the length of each small scale?
    
    
19. A ball travels 382.5 m in 2.3 minutes. What is the average distance covered by the ball per minute?
    
    
20. One popcorn packet costs Rs. 9.5. If Kriti bought 13 packets and a half more, how much does she have to pay?

Multiple Choice Questions

1. If you eat th part of a cake every day. In how many days, will you be able to eat the cake completely?
   (a) Two days
   (b) Two and a half days
   (c) Three days
   (d) Three and a half days
   Correct Option: (b) Two and a half days
   Solution:
   Here,
   
   So, it will take  days i.e. two and a half days to finish eating the cake completely.
   
   
2. While preparing Rangoli for Diwali celebration, Jaya fills  of its part with blue color and make a design with yellow color in the   part of the blue area. Which of the following fractional part represent the area designed with yellow color?
   (a)  
   (b)  
   (c)  
   (d)  
   Correct Option: (d)  
   Solution:
    part is filled with blue color.
     part of the blue area 
   Hence, represent the area designed with yellow color
    
3. There are 495 pages in a Mathematics book. By the end of August, Heena finished practicing   part of the book. How many pages still remaining for practice?
   (a) 99
   (b) 100
   (c) 395
   (d) 396
   Correct Option: (d) 396
   Solution:
     part of the book 
   So, Heena finished practicing 99 pages.
   ⇒ No. of pages still remaining for practice = 495 – 99 = 396
   
   
4. Lata has ordered a cold coffee and she drinks  of it in one sip. She then drinks  part from the remaining cold coffee. How much coffee is still left in the glass?
   (a)   part
   (b)    part
   (c)    part
   (d)  part
   Correct Option: (a)   part
   Solution:
   Lata drinks   part of coffee in first sip.
   Now,
   So,  part of coffee is remaining.
   She then drinks  part from this remaining amount of coffee.
   
   So, she drank part from the remaining coffee.
   Amount of coffee still left in the glass 
   
   
   
5. As the summer vacation starts, every student has got some homework for the next academic year. Rishabh has got a homework to write 500 words essay on any topic of his choice. If he finished writing  of it in 5 days, how many more days will he require to complete the essay?
   (a) 5
   (b) 10
   (c) 15
   (d) 20
   Correct Option:  (c) 15
   Solution:
     
   He finished writing 125 pages in first 5 days.
   But, 125 × 4 = 500
   So, he need 5×4 = 20 days to complete the essay.
   Thus, Rishabh require 15 more days to complete the essay.
   
   
   
6. Radhika has bought 2 packets of Rava (1 kg in each packet) and divided each kg into equal number of parts. She then prepares Upma by taking  part from the total amount of Rava. Each member of a family took  part from the prepared Upma. How many members are there in the family?
   (a) 8
   (b) 4
   (c) 2
   (d) 1
   Correct Option: (c) 2
   Solution:
   
   Each member of a family take of the Upma.
   
   So, there are 2 members in the family.
   
   
   
7. Length of a red bus is 9.6 m. There are 5 more yellow buses parked in the depot each with length equal to half of the length of red bus. What is the combined length of yellow buses?
   (a) 48 m
   (b) 57.6 m
   (c) 24 m
   (d) 33.6 m
   Correct Option: (c) 24 m
   Solution:
   Length of red bus is 9.6 m.
   Length of each yellow bus 
   Combined length of yellow buses = 4.8 × 5 = 24 m
   
   
8. Take any decimal number and divide it by half of 1. The number we get after division
   (a) is same as the number taken
   (b) is double the number taken
   (c) is half of the number taken
   (d) cannot be determined
   Correct Option: (b) is double the number taken
   Solution:
   Let’s take a number 25.5.
   Half of 1 is =0.5
   Divide the decimal number by half of it
   
   But, 25.5×2=51
   So, the number we get after division is double the number taken.
   
   
9. When we divide a decimal number by 1000 and then by 100, by how many places will the decimal point shift?
   (a) 3 places to the right
   (b) 3 places to the left
   (c) 5 places to the right
   (d) 5 places to the left
   Correct Option: (d) 5 places to the left
   Solution:
   When we divide a decimal number by 1000, the decimal point shifts by 3 places to the left.
   When we divide a decimal number by 100, the decimal point shifts by 2 places to the left.
   So, the decimal point will shift by 5 places to the left when we divide a decimal number by 1000 and then by 100.
   
   
10. Neetu walks 7.5 km in 1 and half hour. How much distance would she cover in 1 hour?
    (a) 2.5 km
    (b) 5 km
    (c) 7.5 m
    (d) 15 km
    Correct Option: (b) 5 km
    Solution:
    Distance covered in 1 hour =
    
    Subjective Questions
    
    
11. Rajnish has made 50 Gulab jamuns using a 250 grams Gulab jamun powder. He separated  of the total number of Gulab jamuns to distribute among his friends. How many Gulab jamuns are still left?
    Solution:
    
    So, Rajnish distributes 20 Gulab jamuns to his friends.
    Number of Gulab jamuns still left = 50 – 20 = 30
    
    
12. In every morning walk, Kalpana covers  part of the ground. How much more does she need to walk every day so that the distance covered is a multiple of the length of the ground?
    Solution:
    
    For the distance covered to be a multiple of the length of the ground.
    We must have the distance as a whole number.
    2 is a whole number but 1/4 is a fraction.
    
    
    So, Kalpana needs to cover more  part of the ground so that the distance covered is a multiple of the length of the ground.
    
    
13. Take a circle and divide it into 4 parts. Now take   the part from one of the 4 parts. Will the resulting fraction be greater than  or  Justify your answer.  
    Solution:
    One part from the 4 parts is  
     part from one of 4 parts 
    
    So, the resulting fraction is smaller than both   and  .
    
    
14. There are 10 classrooms on each floor in a school and distance between each of them is  m. What is the distance between the rightmost and the leftmost classrooms? 
    Solution:
    There are 10 classrooms.
    Distance between two classrooms is  m.
    Distance between the rightmost and the leftmost classrooms = Distance between 10 classrooms
    
    
    
15. Naina ate   part of the pizza and left the remaining for her family members. If there are 7 members in the family, what part of a complete pizza would each member get?
    Solution:
    As Naina ate   part
    So, the remaining pizza = of the total pizza.
    
    ∴ Each member will get   part of the complete pizza.
    
    
16. Divide  by the reciprocal of . What is reciprocal of the resulting fraction?
    Solution:
    
    Reciprocal of 
    
    Reciprocal of  is .
    
    
17. Eshan went to a super mart and bought 5.5 kg of Sugar. If 1 kg of Sugar is at Rs. 38.5, how much money did Eshan spend for buying Sugar?
    Solution:
    1 kg of Sugar can be bought in Rs. 38.5
    Money spent for buying 5.5 kg Sugar = 5.5 × 38.5 = Rs. 211.75
    
    
18. Three straight wood scales of lengths 5.6 cm, 10.8 cm and 9.4 cm are joined using fevicol. If we then break this large scale into 4 small scales of equal length, what is the length of each small scale?
    Solution:
    Length of large scale obtained by joining three scales = 5.6 + 10.8 + 9.4 = 25.8 cm
    Length of each small scale 
    
    
19. A ball travels 382.5 m in 2.3 minutes. What is the average distance covered by the ball per minute?
    Solution:
    Distance covered in 1 minute 
    
    
20. One popcorn packet costs Rs. 9.5. If Kriti bought 13 packets and a half more, how much does she have to pay?
    Solution:
    13 packets and a half packet is 13.5 packets
    Cost of popcorn for kriti = 9.5 × 13.5 = Rs 128.25