Finish this problem: How many ounces is \frac{3}{4} of a pound? (In other words, convert \frac{3}{4} pound to ounces). Write the correct operation (x or \div) after you write in the numbers and their units. original number x or \div conversion fact = answer 5) For each of these problems, use the given conversion fact. Write your work out in the blanks. a) 1 foot (ft) = 12 inches (in). Convert 8 \frac{1}{3} feet to inches. original number x or \div conversion fact = answer b) 30.5 centimeters (cm) = 1 foot. How many feet is 65 centimeters? original number x or \div conversion fact = answer c) 1 mile (mi) = 1.6 kilometers (km). How many miles is 35 kilometers? original number x or \div conversion fact = answer d) Convert 8 inches to feet. (The answer here will be a fraction of a foot, because 8 inches isn’t a whole foot.) original number x or \div conversion fact = answer Do these problems on your own paper now. 6) A company that builds fence charges $7.50 per rod. They need to know how much to charge to build a fence that is 2640 feet long. a) Convert 2640 feet to rods, using the conversion fact that 1 rod = 16.5 feet.
The Correct Answer and Explanation is:
Convert 34\frac{3}{4}43 of a pound to ounces:
We know that 1 pound (lb) is equal to 16 ounces (oz). To convert 34\frac{3}{4}43 pound to ounces, we use the multiplication operation.
Original number × Conversion fact = Answer34 lb×16 ozlb=34×16=12 oz\frac{3}{4} \, \text{lb} \times 16 \, \frac{\text{oz}}{\text{lb}} = \frac{3}{4} \times 16 = 12 \, \text{oz}43lb×16lboz=43×16=12oz
So, 34\frac{3}{4}43 of a pound is 12 ounces.
2. Convert 8 13\frac{1}{3}31 feet to inches:
The conversion fact is 1 foot (ft) = 12 inches (in). To convert 8 13\frac{1}{3}31 feet to inches, we multiply.
Original number × Conversion fact = Answer
First, convert 8138 \frac{1}{3}831 to an improper fraction:813=2538 \frac{1}{3} = \frac{25}{3}831=325
Now multiply by the conversion factor:253 ft×12 inft=25×123=3003=100 in\frac{25}{3} \, \text{ft} \times 12 \, \frac{\text{in}}{\text{ft}} = \frac{25 \times 12}{3} = \frac{300}{3} = 100 \, \text{in}325ft×12ftin=325×12=3300=100in
So, 8 13\frac{1}{3}31 feet equals 100 inches.
3. Convert 65 centimeters to feet:
The conversion fact is 30.5 cm = 1 foot. To convert 65 cm to feet, we use division.
Original number ÷ Conversion fact = Answer65 cm÷30.5 cmft=6530.5≈2.13 ft65 \, \text{cm} \div 30.5 \, \frac{\text{cm}}{\text{ft}} = \frac{65}{30.5} \approx 2.13 \, \text{ft}65cm÷30.5ftcm=30.565≈2.13ft
So, 65 centimeters is approximately 2.13 feet.
4. Convert 35 kilometers to miles:
The conversion fact is 1 mile = 1.6 kilometers. To convert 35 kilometers to miles, we divide.
Original number ÷ Conversion fact = Answer35 km÷1.6 kmmi=351.6=21.875 mi35 \, \text{km} \div 1.6 \, \frac{\text{km}}{\text{mi}} = \frac{35}{1.6} = 21.875 \, \text{mi}35km÷1.6mikm=1.635=21.875mi
So, 35 kilometers is approximately 21.88 miles.
5. Convert 8 inches to feet:
We know that 1 foot = 12 inches, so to convert inches to feet, we divide.
Original number ÷ Conversion fact = Answer8 in÷12 inft=812=23 ft8 \, \text{in} \div 12 \, \frac{\text{in}}{\text{ft}} = \frac{8}{12} = \frac{2}{3} \, \text{ft}8in÷12ftin=128=32ft
So, 8 inches equals 23\frac{2}{3}32 feet.
6. Convert 2640 feet to rods:
We know that 1 rod = 16.5 feet. To convert 2640 feet to rods, we divide.
Original number ÷ Conversion fact = Answer2640 ft÷16.5 ftrod=264016.5≈160 rods2640 \, \text{ft} \div 16.5 \, \frac{\text{ft}}{\text{rod}} = \frac{2640}{16.5} \approx 160 \, \text{rods}2640ft÷16.5rodft=16.52640≈160rods
So, 2640 feet is approximately 160 rods.
Each of these problems involves using the correct operation (multiplication or division) based on the conversion facts provided, making sure units cancel out and giving the correct final answer.
