Problem 1 :
A dime is 1/2 inch wide. If you put 5 dimes end to end, how long would they be from beginning to end?
Problem 2 :
You have 10 cookies and want to give 1/2 of them to a friend. How many do you give to your friend?
Problem 3 :
Sara plants 4 saplings in a row in her garden. The distance between two adjacent saplings is 3/4 m. Find the distance between the first and the last sapling.
Problem 4 :
Ronald reads 1/3 part of a book in 1 hour. How much part of the book will he read in 2⅕ hours?
Problem 5 :
Laura reads a book for 1¾ hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?
Problem 6 :
If milk is available at $17¾ per litter, find the cost of 7⅖ liters of milk.
Problem 7 :
Sharon can walk 8⅓ km in one hour. How much distance will she cover in 2⅖ hours?
Problem 8 :
A sugar bag contains 30 kg of sugar. After consuming bag 2/3 of it, how much sugar is left in the bag?
Problem 9 :
Each side of a square is 6⅔ m long. Find its area.
Problem 10 :
There are 45 students in a class and 3/5 of them are boys. How many girls are there in the class?
1. Answer :
Width of each dime = 1/2 inch.
Number of dimes at the end = 5.
Length of dime at the end :
= 5 ⋅ (1/2)
= 5/2
= 2.5 inch
So, length of die at the end is 2.5 inch.
2. Answer :
Number of cookies i have = 10.
Number of cookies that i am going to give to my friend :
= 1/2 of 10
= 1/2 ⋅ 10
= 5 cookies
So, i will give 5 cookies to my friend.
3. Answer :
Number of cookies i have = 10.
Number of saplings in the garden = 4.
Distance between adjacent sapling = 3/4 m.
Distance between first and last sapling :
= 4 ⋅ (3/4)
= 12/4
= 3 m
So, the distance between the first and last sapling is 3 m.
4. Answer :
In 1 hour part of the book completed by Ronald = 1/3.
Distance covered in 2 hours,
= 2⅕ ⋅ 1/3
= 11/5 ⋅ 1/3
= 11/15
So, distance covered in 2⅕ hours is 11/15 km.
5. Answer :
Time spent by Laura to read book = 1¾ hours.
Number of days taken by her to complete the entire book
= 6 days
Time taken by her to complete the book :
= 1¾ ⋅ 6
= 7/4 ⋅ 6
= 42/4
= 21/2
= 10½
So, he will take 10½ hours to complete the book.
6. Answer :
Cost of 1 of milk = $17¾.
Cost of 7⅖ liter of milk :
= (17¾) ⋅ (7⅖)
= 71/4 ⋅ 37/5
= 2627/20
Converting to mixed fraction, we get
= $131⁷⁄₂₀
7. Answer :
Distance covered by Sharon in one hour = 8⅓ km.
= 25/3
Distance covered in 2 2/5 hours :
= (2⅖) ⋅ (25/3)
= 12/5 ⋅ 25/3
= 300/15
= 20 km
So, distance covered in 2⅖ hours is 20 km.
8. Answer :
Quantity of sugar = 30 kg.
Quantity of consumed :
= 2/3 of 30
= 2/3 ⋅ 30
= 60/3
= 20 kg
Quantity of sugar left in the bag :
= 30 - 20
= 10 kg
9. Answer :
Side length of square :
= 6⅔
= 20/3 m
Area of square :
= a^{2}
Substitute a = 20/3.
= (20/3)^{2}
= (20/3)^{2} ⋅ (20/3)
= 400/9
= 44⁴⁄₉ m^{2}
10. Answer :
Number of students in the class = 45.
Number of boys ;
= 3/5 of 45
= 3/5 ⋅ 45
= 135/5
= 27
Number of girls :
= 45 - 27
= 18
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