7 Find a fraction that has a denominator of. 8 Find a fraction that has a denominator of. 9 Arrange the following fractions in
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1 Fractions Skill Builder Fractions EVALUATED CHAPTER Convert to an Improper Fraction. 7 Find a fraction that has a denominator of 24 that is equivalent to Convert 4 8 to an Improper Fraction. 8 Find a fraction that has a denominator of 48 that is equivalent to 8. Convert 7 to a reduced Mixed Fraction. 4 Convert 4 to a reduced Mixed Fraction. 9 Arrange the following fractions in increasing order. 5 7 S =,, Convert 8 24 to an Irreducible Fraction. 0 Arrange the following fractions in increasing order. 6 Convert 2 5 to an Irreducible Fraction. 7 5 S =,, Skill Builder: Fractions 9
2 2 Using Models to Multiply Fractions EVALUATED Use a number line to model the problem, then work out the solution step-by-step: Use an area model to represent the problem, then work out the solution step-by-step: What is three-fourths of two-thirds? 2 = 4 2 Use a number line to model the problem, then work out the solution step-by-step: 6 4 Use a number line to model the problem, then work out the solution step-by-step: 5 6 Use an area model to represent the problem, then work out the solution step-by-step: What is three-fourths of three-fourths? = Use a number line to model the problem, then work out the solution step-by-step: 5 92 Chapter : Fractions
3 7 Use an area model to represent the problem, then work out the solution step-by-step: What is two-thirds of two-thirds? 9 Work out the solution step-by-step: 4 = = 0 Work out the solution step-by-step: 8 Use an area model to represent the problem, then work out the solution step-by-step: = 5 What is three-fifths of five-sixths? 5 = 5 6 Skill Builder: Using Models to Multiply Fractions 9
4 Multiplying Fractions EVALUATED Calculate the following multiplication and 2 =? 2 4 Calculate the following multiplication and write the result as a reduced Mixed Fraction. 5 7 =? 20 2 Calculate the following multiplication and 7 =? Calculate the following multiplication and write the result as a reduced Mixed Fraction. 6 =? 2 Calculate the following multiplication and write the result as a reduced Mixed Fraction. 4 =? 4 6 Calculate the following multiplication and write the result as a reduced Mixed Fraction =? 5 94 Chapter : Fractions
5 7 Calculate the following multiplication and =? Calculate the following multiplication and write the result as a reduced Mixed Fraction. 0 =? Calculate the following multiplication and =? Calculate the following multiplication and write the result as a reduced Mixed Fraction. 5 8 =? 6 0 Skill Builder: Multiplying Fractions 95
6 4 Using Models to Divide Fractions EVALUATED A tornado traveled 00 miles in 2 hours. How many miles per hour did it travel? 4 Mrs. Mariucci has 2 of a pan of lasagna left for dinner. She wants to divide the lasagna into 6 equal pieces for her family. What part of the original pan of lasagna will each person get? 2 Maria buys a 0-pound bag of dog food to feed her dog. If her dog gets 2 pounds of 5 dog food each day, how many days will the bag last? 5 A rectangle has an area of 7 square units. 2 If the width is units, what is the height? In a certain restaurant a whole pie has been sliced into 8 equal wedges. Only 2 slices of the pie remain. Three people would each like an equal portion from the remaining slices of pie. What fraction of the original pie should each person receive? 6 A regular octagon has a perimeter of 5 units. What is the length of each side? 96 Chapter : Fractions
7 7 Max is designing a page for the school yearbook. If each student photo is 8 inches wide, how many photos will fit across a page that is inches wide? 9 A baby alligator is 5 feet long. A baby 8 gecko is feet long. How many times 6 longer is the baby alligator than the baby gecko? 8 A 5 2 foot sub sandwich is cut into 4 foot lengths. How many foot sandwiches are 4 there? 0 Jonathan has cups of chocolate chips 2 to make cookies. The recipe uses cup of chips in each batch. How many batches of cookies can Jonathan make? Skill Builder: Using Models to Divide Fractions 97
8 5 Dividing Fractions EVALUATED Calculate the following division and 6 =? Calculate the following division and write the result as a reduced mixed fraction. 8 5 =? 9 2 Calculate the following division and 2 =? Calculate the following division and write the result as a reduced mixed fraction. 5 =? 4 2 Calculate the following division and 9 6 =? 20 6 Calculate the following division and write the result as a reduced mixed fraction =? 6 98 Chapter : Fractions
9 7 Perform the following calculation and 5 5 =? Perform the following calculation and =? Perform the following calculation and 5 0 =? Perform the following calculation and 2 4 5=? 25 Skill Builder: Dividing Fractions 99
10 6 Using Models to Add and Subtract Fractions EVALUATED Rewrite the fractions with common denominators using a model. 6 and 4 4 Add using a model Rewrite the fractions with common denominators using a model. 5 and 2 5 Add without a model Check your work. Add using a model Add without a model Check your work. 04 Chapter : Fractions
11 7 Subtract using a model Subtract without a model. 2 5 Check your work. 8 Subtract using a model. 2 0 Subtract without a model Check your work. Skill Builder: Using Models to Add and Subtract Fractions 05
12 7 Adding Fractions EVALUATED Calculate the following addition and =? Calculate the following addition and write the result as a reduced mixed fraction. 7 + =? Calculate the following addition and 5 + =? Calculate the following addition and write the result as a reduced mixed fraction =? 5 Calculate the following addition and write the result as a reduced mixed fraction. + =? Calculate the following addition and write the result as a reduced mixed fraction =? 2 06 Chapter : Fractions
13 7 Calculate the following addition and write the result as a reduced mixed fraction =? Calculate the following addition and write the result as a reduced mixed fraction =? 5 8 Calculate the following addition and write the result as a reduced mixed fraction =? Calculate the following addition and write the result as a reduced mixed fraction =? 0 20 Skill Builder: Adding Fractions 07
14 8 Subtracting Fractions EVALUATED Calculate the following subtraction and 5 =? Calculate the following subtraction and write the result as a reduced mixed fraction. 2 7 =? 9 2 Calculate the following subtraction and 7 4 =? Calculate the following subtraction and write the result as a reduced mixed fraction. 4 7 =? 5 Calculate the following subtraction and write the result as a reduced mixed fraction. 9 =? 6 Calculate the following subtraction and write the result as a reduced mixed fraction. =? 6 2 Chapter : Fractions
15 7 Calculate the following subtraction and write the result as a reduced mixed fraction. 4 6 =? Calculate the following subtraction and =? Calculate the following subtraction and write the result as a reduced mixed fraction =? Calculate the following subtraction and 7 5 =? Skill Builder: Subtracting Fractions
16 9 Exponents and Square Roots of Fractions ENRICHMENT Calculate the value of the following expression. 6 =? 49 4 Calculate the value of the following expression. 0 8 =? 9 2 Calculate the value of the following expression. =? 9 5 Calculate the value of the following expression. 4 7 =? Calculate the value of the following expression. 2 4 =? 5 6 Calculate the value of the following expression. 6 =? 7 4 Chapter : Fractions
17 7 Perform the following calculation and 25 =? Determine the value of x in the following equation. 2 x = 4 8 Perform the following calculation and 2 2 =? 4 0 Determine the value of x in the following equation. x 9 = 4 6 Skill Builder: Exponents and Square Roots of Fractions 5
18 0 The Order of Operations Part EVALUATED Perform the following chain of operations. 4 + = 4 9 2? 4 Perform the following chain of operations =? Perform the following chain of operations =? Perform the following chain of operations. 4 5 =? 8 8 Perform the following chain of operations =? Perform the following chain of operations. 7 4 =? Chapter : Fractions
19 7 Perform the following chain of operations =? Perform the following chain of operations. 2 5 =? Perform the following chain of operations =? Perform the following chain of operations. 2 =? 9 Skill Builder: The Order of Operations Part 7
20 Solving Equations with Fractions EVALUATED Solve for x in the equation below. x 6 = Solve for x in the equation below. 2 x = 2 2 Solve for x in the equation below. x 6 = Solve for x in the equation below. 4 x = 24 8 Solve for x in the equation below. 8 2 x = 6 6 Solve for x in the equation below. 9 x = Chapter : Fractions
21 7 Solve for x in the equation below. 8 2 = 75 x 9 If 7 of the students at Ashbury College 8 have skates, how many of the 560 students at that school could go skating on the canal in Ottawa in January? 8 Solve for x in the equation below = 5 x 0 At Lower Canada College in Montreal, 4 5 of the students played a school sport. If 24 students played a sport last year, how many students attended this school? Skill Builder: Solving Equations with Fractions 9
22 2 Word Problems for Fractions EVALUATED Last year, students ran for Student Council President. 4 of the students 5 voted for Ryan, voted for Pat, 0 0 voted for Karina, and of the students 5 forgot to vote. Who won? The Brown family has spends 5 of its 0 monthly budget on house expenses, for food, and 4 for car payments and 5 recreation. What fraction of the monthly budget is left for their retirement savings? 2 Phil got 20 on his Math test. Tammy is 25 writing a Math test today. If her test only has 0 questions, how many does she have to get right to get the same result as Phil? 4 In a Grade 7 Math class, of the students 8 play sports, 5 play a musical instrument, 2 and the rest of the students draw or paint. What fraction of the students draw or paint? 20 Chapter : Fractions
23 5 At a poker tournament, there is a total prize of $600 to be split among the top players. If 2 first place, and of the prize goes to the goes to second place, how much money does the third place finisher win? 7 At a party, a 2 liter container of fruit punch was used to fill cups that could hold 8 of a liter. How many of these cups could be filled? 8 Kim sells 4 of her T-shirts on Monday 2 6 At Beaconsfield High School, of the students take the bus to get to school. If there are 56 students at this school, how many of them take the bus? and 2 of the rest of them on Tuesday. On Wednesday she only has 8 T-shirts left to sell. How many T-shirts did she start with? Skill Builder: Word Problems for Fractions 2
24 9 On Monday morning, the gas tank of Jane s car was 4 full. By Monday night, she had 5 used 7 of the gas that was in her tank. 2 What fraction of the tank s full capacity is left in her tank for Tuesday morning? 0 David and Sheila want to buy a new phone that will cost $20. If David can contribute 2 5 of the price and Sheila can contribute 7 of the price, how much more money will be needed? 22 Chapter : Fractions
25 Application of Basic Fractions for the Workplace ENRICHMENT 5 A piece of copper tubing measures 2 6 cm on the outside diameter. If the wall of the tube is cm wide, what is the inside Skill Builder You and a friend earned $6 doing yard work. You worked for 2 hours and your friend worked for hour. If your share is 2 of the total, how much should you get? diameter of the tube? cm? 5 2 cm 6 4 You work at a bridal shop. You need to find out how much satin you will need to make 4 bridesmaid s dresses and 2 flower girl s dresses. Each bridesmaid s dress requires 4 yards of satin, and each flower girl s 8 2 dress needs yards. How many yards of 2 A worker cuts 2 4 meters of Typar from a roll 20 meters long. How much is left on the roll? satin do you need in all? Skill Builder: Application of Basic Fractions for the Workplace 2
26 5 If a car going at a constant speed covers 48 miles in of an hour, how fast is it going 4 (in miles per hour)? 7 A carpenter applied 2 2 rows of siding to a wall from bottom to top. If each row of siding covered 8 inches, how tall was the 4 wall? 6 A brick is 2 of a foot long. How many bricks must be placed end to end to reach 0 feet? 8 A tool box has inside dimensions of 9 in. 4 long by 20 in. wide by 9 in. tall. What is 2 the volume of the tool box in cubic inches? [V = length width height] 24 Chapter : Fractions
27 9 A circular track for testing cars is 4 5 of a mile long. A white stripe is being painted every of a mile. How many white 0 stripes need to be painted? 0 You are a medication aid and are required to administer doses of a medication of which you need ounces per dose. If you only have one 2-ounce bottle of the medication on hand, how many doses will you be able to administer? Skill Builder: Application of Basic Fractions for the Workplace 25
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