OPERATIONS & WORD PROBLEMS WITH FRACTIONS
DIRECTIONS:
- Write money in proper form.
- Reduce fractions/ratios to lowest terms.
- Round decimals to nearest cent/hundredth.
DO NOT USE A CALCULATOR!!!
PART I: Find each answer. Use Order of Operations.
1) 2) 3) 4)
5) 6) 7) 8)
9) 10) 11) 12)
13) 14) 15) 16)
17) 18) 19) 20)
21) 22) 100 23) 24)
25) 26) 27) 28)
29) 30) 31) 32)
33) 34) 35) 36)
37) 38) 39)
34) 35) 36) 37)
38) 39) 40) 41)
42) 43) 44) 45)
46) 47) 48) 49)
50) 32 + 51) 52) 853)
54) 55) 35 - 56) 15 - 57)
58) 59) 60)
61) 61) 62) 63)
64) 65) 66) 67)
68) 69) 70)
71) 72) 73)
74) (5 ÷ 15) + (3 ÷ 4 ∙ 2)75) + (2 ÷ 6)76)
PART II: Find each answer.
1) 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?
2) Mikos received $50 for his birthday from his grandfather. He bought a CD for $15. What fraction of his money does he have left?
3) How many blouses can be manufactured from a piece of fabric 63 yards long if each blouse requires ¾ of a yard?
4) Barbara walked miles to church, then miles to the grocery store and then miles home. If this is her routine every Monday, Wednesday and Friday, how many miles does she walk altogether each week?
5) If Kevin ate of a pizza and Sandy ate of the same pizza, what fraction of the pizza remains?
6) It is estimated that of your fuel expenses can be saved by installing storm windows and doors in 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?
7) Raymond Smith is allowed to work a maximum of 15 hours per week at his work-study job. On Monday, he worked hours and on Wednesday he worked hours.
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?
8) Ashley had a 20-pound bag of potting soil in her gardening shed. She used of the bag in April to plant her spring flowers. How many pounds of potting soil did she use?
9) 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?
10) Gino had a 64-fluid ounce bottle of vegetable oil. He used of it to fry eggplants. How many fluid ounces of vegetable oil are left in the bottle?
11) Pamela bought a 10-pound bag of confetti in her closet. She used pounds of the confetti to put inside the piñata. How many pounds of confetti are left?
12) Lois Mulhair requires 27 yards of fabric to upholster a sofa and yards to upholster a matching chair. If she had 50 yards of the fabric, will she have enough to upholster another matching chair?
13) 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?
14) 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?
15) Carina can type pages in an hour. How many pages can she type in 2 ½ hours?
16) The length of a business sign is feet. The owner wants a feet long logo repeated across the bottom of the sign. How many times will the logo be repeated on the sign?
17) Seventy-eight ounces of spaghetti are to be distributed into 6 ½ ounce cans. How many cans will you need?
18) You have ounces of homemade rice pudding to share with friends. If each serving should be ounces, how many people can be served?
19) 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 sugar2 tablespoons baking soda
3 ¼ cups of flour2 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?
20) You are the head chef of desserts at a local restaurant. You need 100 pounds of sugar to make the desserts tonight. There are five un-opened bags of pounds each. There are three opened bags of 12 pounds, pounds, and pounds. Do you have enough sugar to make all the planned desserts?
21) Geraldo has pounds of sunflower seeds. He will distribute the sunflower seeds to 10 people. How many pounds will each person receive?
22) How many minutes is of an hour?
23) Barnaby plays on the basketball court for of an hour each day, 5 days a week. How many hours does Barnaby play each year?
24) Amelia plans to use of the 20-pound bag of soil to re-pot her six plants. How many pounds of soil will Amelia use?
25) Terrence drove of his 200-mile trip on Monday. How many miles did Terrence drive on Monday?
26) Kristoff had 50 gallons of ready-to-mix cement. He used of it to make a patio. How many gallons of cement does Kristoff have left?
27) Janice saved $1449 in the past year. She used of her savings to buy a plane ticket to England. How much money does she have left in her savings?