CLASSWORK PROBLEMS
FRACTIONS
DIRECTIONS: Write money in proper form. Reduce fractions/ratios to lowest terms. Round decimals to nearest cent/hundredth.
DO NOT USE A CALCULATOR!!!
1) You have been asked to design a chart showing the seating in the Bard Theatre. The Theatre has 35,600 seats. The orchestra section seats 16,400, the mezzanine section seats 8200 and the balcony sections seats 400. a) What fraction of the total seating is in the mezzanine section? b) If 1600 senior citizens buy orchestra seats, what fraction of the orchestra section do they fill? c) Orchestra seats cost $65. Mezzanine seats cost $40. Balcony seats cost $50. The Taming of the Shrew was playing at the Bard Theatre on Friday night, Saturday night and 2 showings on Sunday (matinee and evening). If the Theatre had sold all the seats for all the shows, how much money did the Theatre make?
2) The O’Dells are driving from Philadelphia to Cleveland, a distance of 440 miles. By noon they had traveled 180 miles. What fraction of the trip have they completed?
3) Mikos received $50 for his birthday from his grandfather. He bought a CD for $15. What fraction of his money does he have left?
4) Two manufacturers of plastic trash bags claim to make the “toughest” bag in the business. The 3 1 Bulldog Bag is centimeter thick. The Superbag is centimeter thick. 1000 250
a) Write the two thickness values with a LCD. b) Which of the bags is thicker? 1 c) To cut down on production costs, Superbag will soon be produced so that its thickness is 500 centimeter. Which bag will then be thicker – Bulldog or the new Superbag?
5) How many blouses can be manufactured from a piece of fabric 63 yards long if each blouse requires ¾ of a yard?
1 1 1 6) Barbara walked 3 miles to church, then 2 miles to the grocery store and then 6 miles home. 3 10 5 If this is her routine every Monday, Wednesday and Friday, how many miles does she walk altogether each week?
1 1 7) If Kevin ate of a pizza and Sandy ate of the same pizza, what fraction of the pizza remains? 8 4 1 8) It is estimated that of your fuel expenses can be saved by installing storm windows and doors in 6 your home. You expect to pay $672 next year for fuel. If you install storm windows and doors, how much can you expect to save?
3 9) To make a gallon of solution used in testing blood, you need 12 ounces of chemical B. You have 10 1 three partially filled containers of chemical B – the first contains 8 ounces, the second contains 3 5 2 ounces and the third contains 2 ounces. 5
a) How much of chemical B do you have in your three containers? 3 b) The supply room has only 5 ounces of the chemical, but another technician can lend you 4 5 ounces. How much will get from these two sources? c) After the loan from the supply room and the other technician, will you have enough of chemical B to make two gallons of the solution?
3 10) You have decided not to use your air conditioner this summer. It is estimated that this will save of 8 the cost of electricity for the months of June, July and August. Last year the electric bill for each of these months was $320. How much do you pay each month this year?
11) Raymond Smith is allowed to work a maximum of 15 hours per week at his work-study job. On 1 3 Monday, he worked 3 hours and on Wednesday he worked 6 hours. 2 5
a) How many more hours can he work? b) If he gets paid $6.00 an hour, how much does he make in a week?
2 12) Ashley had a 20-pound bag of potting soil in her gardening shed. She used of the bag in April to 5 plant her spring flowers. How many pounds of potting soil did she use?
13) The vacation club has 2500 members. Three-tenths of the members will be going on a trip to Japan. How many members are going to Japan?
1 14) Gino had a 64-fluid ounce bottle of vegetable oil. He used of it to fry eggplants. How many fluid 3 ounces of vegetable oil are left in the bottle?
1 15) Pamela bought a 10-pound bag of confetti in her closet. She used 5 pounds of the confetti to put 2 inside the piñata. How many pounds of confetti are left?
3 16) Lois Mulhair requires 27 yards of fabric to upholster a sofa and 12 yards to upholster a matching 8 chair. If she had 50 yards of the fabric, will she have enough to upholster another matching chair? 17) Bobby wants to put fencing around his rectangular flowerbed that measures 12 ¾ feet by 9 ½ feet. How many feet of fencing does he need?
18) You would like to cover the rectangular dining room table with glass so as not to ruin the wood. The length is 18 feet and the width is 9 ¾ feet. How much glass will you need to cover the table?
1 19) Carina can type 5 pages in an hour. How many pages can she type in 2 ½ hours? 3
7 1 20) The length of a business sign is 3 feet. The owner wants a feet long logo repeated across the 8 16 bottom of the sign. How many times will the logo be repeated on the sign?
21) Seventy-eight ounces of spaghetti are to be distributed into 6 ½ ounce cans. How many cans will you need?
2 22) You have 88 ounces of homemade rice pudding to share with friends. 3
2 a) If each serving should be 4 ounces, how many people can be served? 3 2 b) You know from the ingredients that there are 450 Calories in each 4 -ounce serving. How 3 many Calories are there in each ounce of the rice pudding?
23) Your Banana Nut Bread has been praised as being the best in town. The following recipe that you decided to share with the town serves 12 people.
6 bananas (smashed) 6 eggs 2 ½ cups of sugar 2 tablespoons baking soda 3 ¼ cups of flour 2 tablespoons salt 2 cups of walnuts
a) The Calcutta family only has 6 people. How much of each ingredient does Mrs. Calcutta need? b) The Rollins family only has 4 people. How much of each ingredient does Mr. Rollins need? c) The Lindenburg family has a total of 24 people when they invite for Thanksgiving dinner. How much of each ingredient does Mrs. Lindenburg need? d) If the ingredients for a 12-serving recipe cost $6.84, what is the cost per serving?
24) You are the head chef of desserts at a local restaurant. You need 100 pounds of sugar to 1 make the desserts tonight. There are five un-opened bags of 15 pounds each. There are three 2 3 1 opened bags of 12 pounds, 4 pounds, and 8 pounds. Do you have enough sugar to make all 4 2 the planned desserts? 1 25) Your car gets 34 miles per gallon. You filled up your tank twice this week with the 4 amounts of 12 gallons each time. How many miles did you drive?
3 26) Geraldo has 5 pounds of sunflower seeds. He will distribute the sunflower seeds to 10 4 people. How many pounds will each person receive?
2 27) How many minutes is of an hour? 3
3 27) Barnaby plays on the basketball court for of an hour each day, 5 days a week. How 4 many hours does Barnaby play each year?
3 28) Amelia plans to use of the 20-pound bag of soil to re-pot her six plants. How many 5 pounds of soil will Amelia use?
3 29) Terrence drove of his 200-mile trip on Monday. How many miles did Terrence drive on 8 Monday?
2 30) Kristoff had 50 gallons of ready-to-mix cement. He used of it to make a patio. How 3 many gallons of cement does Kristoff have left?
5 31) Janice saved $1449 in the past year. She used of her savings to buy a plane ticket to 7 England. How much money does she have left in her savings?