Math Lesson 64 Multiplying Mixed Numbers
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| 1032949031 | improper fraction | Has a numerator that is greater than or equal to its denominator. |  |
| 1032949032 | Estimate each sum or difference. 1. 3 6/7 - 2 1/3 2. 5 2/3 + 7 1/5 3. 8 7/9 - 2 6/7 4. 6 5/6 + 1 1/7 |  | |
| 1032949033 | Estimating Products of Mixed Numbers | To estimate the product of mixed numbers, round the mixed numbers to the nearest whole number and then multiply. If the fraction part of a mixed number is 1/2 or greater, round up, if less than 1/2, round down. | |
| 1032949034 | One of the smallest newspapers ever printed has a page size of 2 3/4 inches long by 1 1/4 inches wide. Estimate the area of the page. | 2 4/16 = 2 1/4 | |
| 1032949035 | Estimate. a. 5 5/6 x 6 4/9 b. 7 11/16 x 7 1/5 | a. 5 5/6 x 6 4/9 6 x6 = 36 b. 7 11/16 x 7 1/5 8 x 7 = 56 | |
| 1032949036 | Multiplying Mixed Numbers | To find the product of mixed numbers, write each mixed number as an improper fraction before multiplying. | |
| 1032949037 | Find the product: 2 2/3 x 3 1/4 |  | |
| 1032949038 | Find each product. a. 1 1/4 x 2 3/4 b. 7 1/3 x 3 3/4 |  | |
| 1032949039 | Multiplying Using Improper Fractions 1 1/3 x 3 1/2 |  | |
| 1032949040 | Explain how to multiply mixed numbers. | 1 1/2 x 3 3/4 = 3/2 x 51/4 1)You have to put your fraction into an improper fraction. 4 5/8 2)Then simplify if you can or multiply. 4 5/8 3)Then you make it a mixed fraction. 4)Then reduce if you can. | |
| 1032949041 | What is the correct first step when multiplying mixed numbers? a. rewrite the mixed numbers as improper fractions b. eliminate common factors between the whole numbers c. find a common denominator d. cross multiply numerators and denominators | a. rewrite the mixed numbers as improper fractions | |
| 1032949042 | Find the product: 2 3/4 • 2 2/3 a. 2 b. 4 1/2 c. 4 7/12 d. 7 1/3 | d. 7 1/3 | |
| 1032949043 | Which of the following expressions will give an improper fraction that is equivalent to the mixed number 2 3/4? a. 2•3/4 b. 2•4+3/4 c. 2•3+4/4 d. 2¢4/3 | b. 2•4+3/4 | |
| 1032949044 | Which of the following will result in the greatest value? a. 2•2 b. 2 1/2 • 2 1/2 c. 2 1/4 • 2 1/4 2 1/2 • 2 1/4 | b. 2 1/2 • 2 1/2 | |
| 1032949045 | You are wrapping boxes for a fundraiser. You have 87 large boxes. You need 2 3/4 feet of ribbon for each large box. you have 48 small boxes. You need 1 5/6 feet of ribbon for each small box. each roll of ribbon has 50 feet of ribbon. a. Estimate the number of feet of ribbon you will need. Show your work and justify you estimate. b. Find the exact number of feet of ribbon you will need. Show your work. c. Find the exact number of rolls of ribbon you need to buy. Does it differ from your estimate? Explain why or why not. | a. 87 x 2 3~ 90 x 3 = 270 48 x 1 5/6 ~ 50 x 2 = 100 270 + 100 = 370 I need about 370 ft of ribbon. b. 87 x 2 3/4 = 239 1/4; 48 x 1 5/6 = 88 239 1/4 + 88 = 327 1/4 I need 327 1/4 ft of ribbon. c. Round 327 1/4 up to the nearest multiple of 50. 327 1/4 ~ 350; 350 ¿ 50 = 7 I need 7 rolls of ribbon. It is less than my estimate because I rounded up. | |
| 1032949046 | Evaluate for x = 3 3/4 23x + 3 a. 45 b. 12 c. 48 d. 183 | c. 48 | |
| 1032949047 | Estimate the area of a picture measuring 5 1/3 feet by 6 1/5 feet. a. 36 ft^2 b. 42 ft^2 c. 30 ft^2 d. 35 ft^2 | c. 30 ft^2 | |
| 1032949048 | Evaluate the expression for x = 3 3/4 5 1/2x + 2 2/5x a. 21 11/20 b. 29 5/8 c. 21 3/10 d. 22 2/5 | b. 29 5/8 | |
| 1032949049 | Estimate the product. 6 6/7 • 5 1/7 a. 30 b. 11 c. 42 d. 35 | d. 35 | |
| 1032949050 | Estimate the product. 7 6/7 • 4 1/7 a. 40 b. 28 c. 32 d. 11 | c. 32 | |
| 1032949051 | b. 4 1/2 cups | Deanna's cake recipe needs to be doubles for a party. How much flour will she need for the party cake? a. 3 3/4 cups b. 4 1/2 cups c. 5 cups d. 6 3/4 cups |  |
| 1032949052 | Estimate the product. 5 1/3 x 11 3/5 a. 65 b. 50 c. 55 d. 60 | d. 60 | |
| 1032949053 | A hamster is 2 1/2 inches long. A rabbit is 3 1/2 times as long as the hamster. How long is the rabbit? a. 8 3/4 inches b. 6 inches c. 7 1/2 inches d. 8 1/4 inches | a. 8 3/4 inches | |
| 1032949054 | Find the product. 2 2/3 • 1 2/3 a. 2 4/9 b. 4 4/9 c. 1 4/9 d. 4 1/3 | b. 4 4/9 | |
| 1032949055 | d. 1 1/2 | Deanna's cake recipe needs to be doubled for a party. How much milk will she need for the party cake? a. 3/4 cup b. 2 cups c. 2 1/4 cups d. 1 1/2 cups | |
| 1032949056 | Ken used a piece of lumber to build a bookshelf. If he made three shelves that are 2 1/2 feet long, how long was the piece of lumber? a. 7 1/2 feet b. 6 1/2 feet c. 4 1/2 feet d. 5 feet | a. 7 1/2 feet | |
| 1032949057 | Find the product. 3 1/2 • 4 1/2 a. 8 b. 4 c. 15 3/4 d. 12 1/4 | c. 15 3/4 | |
| 1032949058 | Evaluate the expression for x = 3 3/4 8x + 4 a. 10 c. 30 c. 124 d. 34 | d. 34 | |
| 1032949059 | Estimate the area of a picture measuring 1 1/2 feet by 8 1/9 feet. a. 9 ft^2 b. 8 ft^2 c. 16 ft^2 d. 18 ft^2 | c. 16 ft^2 | |
| 1032949060 | Estimate the product. 3 8/9 • 4 1/5 a. 7 b. 20 c. 12 d. 16 | d. 16 | |
| 1032949061 | A gallon of water weighs 8 1/3 lb. How much does 1 1 1/5 gal of water weigh? a. 12 lb b. 8 1/15 lb c. 10 lb d. 11 1/2 lb | c. 10 lb | |
| 1032949062 | Find the product. Simplify. 7/9 of 27 a. 1/21 b. 10 c. 21 d. 34/9 | c. 21 | |
| 1032949063 | Find the product. Simplify. 1/7 x 8/9 a. 9/56 b. 56/9 c. 8/63 d. 63/8 | c. 8/63 | |
| 1032949064 | Estimate the product. (Hint: round each fractional part to 0, 1/2, or 1) 11 7/8 x 2 1/6 a. 26 5/6 b. 25 c. 24 d. 23 | c. 24 |
