Since 5 is an odd number, the square had to be divided either vertically or horizontally.
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1 -NEM-WBAns-CH 7// : PM Page Fraction Puzzles Use patterns to represent the same fraction in different ways.. Name the fraction that is shaded and unshaded. a) Shaded Unshaded b) Shaded Unshaded Fractions can be represented in different ways. F example, both pictures show the fraction.. Represent each fraction on a square. a) shaded b) shaded c) shaded. Which square in Question was the most difficult to create? Explain. Part c) was me difficult because the square had to be divided into parts. Since is an odd number, the square had to be divided either vertically hizontally.. Make different rectangles where is shaded. Recd your results in the chart below. Suggested answer: Total number of Number of shaded squares squares in rectangle Picture of shaded rectangle 6 Answers Chapter : Fractions Copyright by Thomson Nelson
2 -NEM-WBAns-CH 7// : PM Page Equivalent Fractions Make models of fractions and name equivalent fractions.. Colour each model to show each fraction. a) b) Equivalent fractions are fractions that represent the same part of a whole the same part of a set. F example, is equivalent to. c) d) Suggested answer: Suggested answer:. Which fractions in Question are equivalent? Explain how you know. and. The numerat in each of these fractions is exactly half of the denominat.. Write the fraction to represent the shaded part in each model. and. Both fractions represent the same amount. a) b) 7 c) d) 6. Sketch a fraction model that shows an equivalent fraction f Parts c) and d) in Question. Write the equivalent fraction. c) Suggested answer: d) Suggested answer: Copyright by Thomson Nelson Answers Chapter : Fractions
3 -NEM-WBAns-CH 7// : PM Page Comparing Fractions Compare the size of fractions.. Compare. Write. Explain your strategy. < Suggested answer: Since the denominats are the same, compare the numerats. is greater than so is greater. a) Fractions can be compared when the denominats are the same, because the total number of sections and the size of the sections are the same. F example, to compare and, look at the numerats. < Suggested answer: Draw a model f each fraction and compare the two models. b) is greater than. If the denominats are not the same, model the fractions using a picture. Then compare the pictures. > Suggested answer: Draw a model f each fraction and compare the two models. c) 6 F example, to compare and 6 use a model. is greater than 6.. a) Draw a tablecloth that is red and yellow. Which area is greater? Explain. is greater than. Since the sections of the tablecloth are the same size, count the sections of each colour. sections are red and 6 sections are yellow. So there is me yellow than red. Suggested answer: red yellow yellow red yellow yellow red yellow yellow red b) What fraction of the tablecloth is not shaded? Explain. 6 is not shaded. Since the sections of the tablecloth are the same size, count the number of unshaded sections. Answers Chapter : Fractions Copyright by Thomson Nelson
4 -NEM-WBAns-CH 7// : PM Page Improper Fractions and Mixed Numbers Represent and rename improper fractions as mixed numbers.. Draw a picture to represent each improper fraction. a) Suggested answer: A mixed number is a number made up of a whole number and a fraction. F example, is a mixed number. b) c) d) 7 Suggested answer: Suggested answer: Suggested answer: An improper fraction is a fraction with a numerat that is greater than equal to the denominat. F example, is an improper fraction. Mixed numbers can be renamed as improper fractions. F example,.. Rename each improper fraction in Question as a mixed number. a) b) c) d) 7. Change each mixed number to an improper fraction a) b) c) d) 6 e) f). A hockey tournament f younger children is a total of games. Each game is of an hour long. Use improper fractions and mixed numbers to represent each time. Explain your thinking. a) length of tournament h h. Draw clocks and divide each into thirds. Shade in on each clock. Then count the total number of thirds. b) length of tournaments 6 h h. Multiply the number of thirds counted in Part a) by. Copyright by Thomson Nelson Answers Chapter : Fractions
5 -NEM-WBAns-CH 7// : PM Page Relating Fractions to Decimals Use the relationship between decimals and fractions to make comparisons. You will need a calculat.. Calculate. a) 6 b) c),,. Write decimal equivalents f each fraction in Question. a) b) c).... Order these decimals from greatest to least. Use inequality signs..,., Order these fractions from least to greatest. Use inequality signs. < <. >. >. A decimal equivalent is a decimal that represents the same part of a whole part of a set as a fraction. F example:... Write each decimal in Question as a fraction. a). b). c). 6. Martin won $ in a bingo game. He shared his prize equally with people in his family. a) How much did each person get? Show your wk. $ = $. b) How would you write this decimal number as a mixed number? = Answers Chapter : Fractions Copyright by Thomson Nelson
6 -NEM-WBAns-CH 7// : PM Page 6 Solve Problems by Making Models Solve fraction problems by making models of the infmation.. Math and reading classes begin at : a.m. They run f hours. What time will math and reading finish? Show your wk. Add h to : a.m. to get : p.m. h is the same as min. So add min to : p.m. to get : p.m To solve problems with fractions, start by making a model. You may use counters, shapes, sketches. You may need to arrange the counters shapes into groups that match the fractions in the problem. Use the arrangement to find the answer.. Danielle shares her snack with her friends. She has 6 carrots and strawberries. She gives of her carrots and of her strawberries to her friends. a) How many carrots and strawberries does she give away? Show your wk. Suggested answer: carrots and strawberries carrots strawberries b) How many carrots and strawberries does she have left f herself? Show your wk. Suggested answer: (carrots) 6 = (strawberries) =. Jin fills a container full while Brad fills a container 7 full. Who has me? How do you know? Show your wk. Suggested answer: 7 = Brad has me. Jin Brad Copyright by Thomson Nelson Answers Chapter : Fractions
7 -NEM-WBAns-CH 7// : PM Page 7 Ordering Fractions on a Number Line Use number lines to compare and der fractions.. Use a number line to find the greatest fraction Order these fractions from least to greatest. Use inequality signs. 6. Order these fractions from greatest to least. Use inequality signs. < < < < 6 < To compare fractions, use a number line to mark the positions of the fractions. The der of the fractions can be read from the number line. F example, to der,, and from least to greatest, use a number line. The crect der is,, and. 7 7 > > > > >. Lise bought different lengths of material to make curtains. She bought of a length of silk, 7 of cotton, and of cduroy. Which material does she have the greatest length? Show your wk. 7 cduroy Answers Chapter : Fractions Copyright by Thomson Nelson
8 -NEM-WBAns-CH 7// : PM Page Test Yourself Circle the crect answer.. What fraction does not represent the shaded part of the picture? A. B. 6 C. 6 D.. What fraction is equivalent to? A. B. C. D.. Which shaded rectangle is the same as 6? A. B. C. D.. What fraction is shaded in the picture? A. 6 B. C. D.. What fraction is shaded in the picture? A. B. 6 C. D. 6. Which fraction is greater than? A. 7 B. 6 C. 7 D. Copyright by Thomson Nelson Answers Chapter : Fractions
9 -NEM-WBAns-CH 7// : PM Page 6 Test Yourself Page 7. Which fraction is less than? A. B. C. 7 D.. What is as a mixed number? A. 6 B. 6 C. 6 D. 6. What is 7 as a mixed number? A. 7 B. 7 C. D.. What is as an improper fraction? A. B. C. D.. What is 7 as an improper fraction? A. B. 7 C. 7. Which decimal represents the part that is shaded? D. A.. B.. C.. D... What is the decimal equivalent of? A.. B..6 C..7 D... What is 7 as a decimal? A.. B..7 C..7 D... What is. as a fraction? A. B. 7 C. D. 6. Raj and Milo play on the same soccer team. Each game is 6 min long. Raj plays of a game. Milo plays 6 of a game. How many me minutes does Milo play than Raj? A. min B. min C. min D. min 6 Answers Chapter : Fractions Copyright by Thomson Nelson
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