Problem 1 :
Find the total width of 3 boards that 1 3/4 inches wide, 7/8 inch wide1/2 inches wide.
Solution :
To find the total width of 3 boards :
= 1 3/4 + 7/8 + 1 1/2
= 7/4 + 7/8 + 3/2
= (7/4 × 2/2) + 7/8 + (3/2 × 4/4)
= 14/8 + 7/8 + 12/8
= 33/8
= 4 1/8
So, the total width of 3 boards is 4 1/8 inches.
Problem 2 :
A 7.15H tire is 6 5/8 inches wide and a 7.15C tire is 4 3/4 inches wide. What is the difference in their widths ?
Solution :
7.15H tire is 6 5/8 inches wide.
= 53/8
7.15C tire is 4 3/4 inches wide.
=19/4
To difference in their widths :
= 53/8 - (19/4 × 2/2)
= 53/8 - 38/8
= 15/8
= 1 7/8
So, the difference in their widths is 1 7/8 inches.
Problem 3 :
A patient is given 1 1/2 teaspoons of medicine in the morning and teaspoons at night. How many teaspoons total does the patient receive daily ?
Solution :
The teaspoons of medicine in the morning = 1 1/2
The teaspoons of medicine in the night = 2 1/4
= 3/2 + 9/4
= (3/2 × 2/2) + 9/4
= 6/4 + 9/4
= 15/4
= 3 3/4
The patient receive daily the teaspoons is 3 3/4.
Problem 4 :
3 1/3 feet are cut off a board that is 12 1/4 feet long. How long is the remaining part of the board ?
Solution :
Feet are cut off a board = 3 1/3
Length of the feet = 12 1/4
= 49/4 – 10/3
= (49/4 × 3/3) – (10/3 × 4/4)
= 147/12 – 40/12
= 107/12
= 8 11/12
So, length of the remaining part of the board is 8 11/12 feet.
Problem 5 :
3/8 of the corn in the U.S. is grown in Iowa. 1/4 of it is grown in Nebraska. How much of the corn supply is grown in the two states ?
Solution :
The U.S. is grown in Iowa = 3/8
The U.S. is grown in Nebraska = 1/4
= 3/8 + (1/4 × 2/2)
= 3/8 + 2/8
= 5/8
So, the corn supply is grown in the two states is 5/8.
Problem 6 :
A runner jogs 7 1/5 miles east, 5 1/4 miles south, and 8 2/3 miles west. How far has she covered ?
Solution :
East miles = 7 1/5
South miles = 5 1/4
West miles = 8 2/3
= 7 1/5 + 5 1/4 + 8 2/3
= 36/5 + 21/4 + 26/3
= (36/5 × 12/12) + (21/4 × 15/15) + (26/3 × 20/20)
= 432/60 + 315/60 + 520/60
= 1267/60
= 21 7/60
So, far has she loaaed is 21 7/60 miles.
Problem 7 :
If 3 1/2 ounce of cough syrup is used from a 9 1/4 ounce bottle, how much is left ?
Solution :
Ounce of cough syrup = 3 1/2
Cough syrup used the bottle = 9 1/4
Cough syrup left the bottle = 9 1/4 – 3 1/2
= 37/4 – 7/2
= 37/4 - (7/2 × 2/2)
= 37/4 – 14/4
= 23/4
= 5 3/4
So, cough syrup left the bottle is 5 3/4 ounces.
Problem 8 :
I set a goal to drink 64 ounces of water a day. If I drink 10 1/3 ounces in the morning, 15 1/2 ounces at noon, and 20 5/6 ounces at dinner, how much more ounces of water do I have to drink to reach my goal for the day ?
Solution :
I set a goal to drink 64 ounces of water a day.
Quantity of water drinking in the morning = 10 1/3
Quantity of water drinking in the noon = 15 1/2
Quantity of water drinking in the dinner = 20 5/6
= 64 – 10 1/3 – 15 1/2 - 20 5/6
= 64 – 31/3 – 31/2 -125/6
= (64/1 × 6/6) – (31/3 × 2/2) – (31/2 × 3/3) -125/6
= 104/6 – 62/6 – 93/6 – 125/6
= (104 – 62 – 93 – 125)/6
= 52/3
= 17 1/3
So, i have to drink to reach my goal for the day is 17 1/3.
Feb 25, 24 07:44 AM
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