Fractions and Mixed Numbers
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- Asher Miles
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1 6 Chapter Fractions and Mixed Numbers Problem solving Thinking Skills Solve. 1. The figure is a square divided into many smaller pieces. What fraction of the square is the rectangle? Enrichment 4A 47
2 Use the table. Express the answers in simplest form. 2. The table shows the number of books sold by Mr. Harrods for the last six months. Month Book Sales Number of Books January 10 February 20 March 5 April 15 May 25 June 5 a. Out of all the books sold in May and June, 14 were comic books. What fraction of the total number of books sold in May and June were comic books? b. Write the number of books sold in February, March, and April as a fraction of the total number of books sold during the six months. 48 Chapter 6 Fractions and Mixed Numbers
3 Answer the questions. Express answers in simplest form. 3. Raj poured 4 2_ 3 liters of water equally into identical cups. Each cup contained 2_ liter of water. How many cups did Raj use? 9 4. In the figure, X and Y are identical overlapping squares. If the length of each side of the shaded region is half the length of square X, what fraction of the figure is not shaded? X Y Enrichment 4A 49
4 Problem solving Strategies Answer the question. Express the answers as mixed numbers or fractions in simplest form. 5. A box contains six number cards. The six numbers form a pattern when ordered from least to greatest. Joanne draws these four cards from the box. 1_ 2 6 1_ 2 1 1_ 4 1_ 4 What number cards are likely to be left in the bag? Solve. Express the answer in simplest form. 6. The total mass of a basket, 4 large pebbles, and 2 small pebbles is 7_ 12 kilogram. The total mass of the basket, 2 large pebbles, and 1 small pebble is 5_ 12 kilogram. Find the mass of the empty basket. 50 Chapter 6 Fractions and Mixed Numbers
5 Solve. Show your work. 7. Two mystery fractions are both less than 1. The sum of the fractions is 1 1_ 4. The difference between the fractions is 1_ 4. What are the two fractions? 8. Two plates and 3 bowls weigh 2 1_ 5 pounds. Five plates and 6 bowls weigh 4 9_ 10 pounds. Find the weight of one plate. 9. Two-thirds of Mr. Hussein s money is equal to 3_ 5 of Ms. Lee s money. Ms. Lee has $20 more than Mr. Hussein. How much money do they have altogether? 10. Candy has 24 sweets. She gave 1_ 2 of her sweets to Suzi, and 2_ 3 of the remainder to her brother. How many sweets did she have in the end? Enrichment 4A 51
6 Problem solving Exploration Solve. Show your work. 11. Jolene and Kathy had the same number of baseball cards after Jolene gave 2_ 5 of her cards to Kathy. They had 42 cards in all. How many baseball cards did Jolene have at first? Show two methods for solving this problem. Method 1 Method 2 52 Chapter 6 Fractions and Mixed Numbers
7 Solve. 12. A box contains five number cards. The five numbers form a pattern when arranged in order. Lucy draws three cards from the box and places them on the table as shown. 1 3_ 4 1 1_ 2 2 Which two cards are likely to be left in the box? Show four different patterns. a. b. c. d. Enrichment 4A 53
8 Journal Writing Explain. 13. Jason made the following calculations. Explain the errors Jason made. a. 1_ 3 1 3_ 5 5 4_ 8 b. 9_ _ 6 5 4_ 5 c. Round off 7_ to the nearest benchmark fraction. Circle it Chapter 6 Fractions and Mixed Numbers
9 d. 2_ _ 7 e. 1 1_ _ _ _ The diagram shows 3_ 5 of a fraction strip shaded. Juliet erases some of the shading to show 3_ 10 shaded. Explain the steps she took to shade 3_ 10 of the fraction strip. Step 1 Step 2 Step 3 Enrichment 4A 55
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