MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Classify the fraction as proper or improper 1) 1) A) proper 2) B) improper 47 2) A) improper 3) B) proper 4 3) A) proper 4) B) improper 4) A) proper 5) B) improper 5) A) improper B) proper Provide an appropriate response 6) The top term in a fraction is called the numerator A) True 6) B) False 7) The bottom term in a fraction is the divisor or the number that divides into the numerator A) True B) False 7) 8) The horizontal line that separates the numerator and the denominator is called the dividend A) True B) False 8) 9) A proper fraction has a value greater than A) True 9) B) False 10) A fraction with a numerator that is less than the denominator is called an improper fraction A) True B) False 10) 11) An improper fraction has a value equal to or less than A) True B) False 11) 12) Before you can add or subtract fractions, they must have the same denominators A) True B) False 12) Write the fraction as a whole or mixed number 43 13) 21 A) 14) 21 D) 13 B) 6 13 C) 13 D) 13 15) 13 B) C) D) 7 16) B) C) 77 D) 42 10 A) 18) C) 14) A) 17) 21 78 13 A) 16) B) 82 13 A) 15) 21 13) 17) B) 5 C) D) 15 A) 18) B) C) 2 D) 1 Solve the problem 19) For every 100 shoppers in a bookstore, $613 dollars worth of books are sold Express the number of dollars spent per shopper as a whole or mixed number 13 13 A) B) C) D) 100 100 10 Provide an appropriate response 20) To change an improper fraction into a whole or mixed number, you need only divide the denominator by the numerator A) True B) False 19) 20) 21) When an improper fraction is converted, if there is a remainder, it is a whole number A) True B) False 21) 22) When an improper fraction is converted, if there is a remainder, it is: A) a whole number B) the numerator C) a prime number D) the denominator 22) 23) To convert mixed numbers to improper fractions you would: A) multiply the whole number times the denominator of the fraction and add the product to the original numerator B) none of these C) multiply the whole number times the numerator of the fraction and add the product to the original denominator D) multiply the whole number times the denominator of the fraction and add the whole number to the denominator 23) 24) When converting mixed numbers to improper fractions, the denominator of the improper fraction will be the same as the of the fractional part of the mixed number 24) A) LCD C) numerator B) denominator D) none of the above Write the whole or mixed number as an improper fraction 25) A) 26) 27 67 11 C) 68 D) 37 26) A) 27) 16 B) 25) B) 191 C) 34 D) 190 7 10 A) 27) 112 10 B) 177 10 C) 167 10 D) 23 10 Provide an appropriate response 28) An equivalent number is a converted whole or mixed number that has the same numerical value as the original fraction A) True B) False 28) 29) In converting mixed numbers to improper fractions, the numerator of the improper fraction will be the same as the numerator of the fractional part of the mixed number A) True B) False 29) 30) To convert mixed numbers to improper fractions, multiply the whole number times the denominator of the fraction and add the product to the original denominator A) True B) False 30) Reduce to lowest terms 31) A) 31) B) C) D) 32) 15 A) 33) 32) B) 10 C) D) 15 30 40 A) 33) 10 B) C) 10 D) 30 40 Solve the problem 34) A Fortune 500 company reported profits of approximately $260 million with approximately $440 million in revenues Compare the profit to revenue by writing as a fraction in lowest terms 29 22 439 13 A) B) C) D) 49 13 259 22 Find the greatest common divisor (GCD) for the following then simplify the fraction 16 35) 28 A) GCD = 3; B) GCD = 5; C) GCD = 4; 34) 35) D) GCD = 4; Provide an appropriate response 36) After fractions have been added, subtracted, multiplied, or divided, the fraction in the answer should be increased to its highest terms A) True B) False 36) 37) If you multiply or divide both parts of a fraction by the same number, the value of the fraction does not change A) True B) False 37) 38) A fraction is in lowest terms when there is no number that can be divided evenly into the numerator and denominator A) True B) False 38) 39) The letters GCD stand for Greatest Common Divisor A) True B) False 39) 40) The greatest common divisor can be zero A) True 40) B) False 41) Fractions should never be reduced to their lowest terms A) True B) False 41) 42) To reduce a fraction to its lowest terms: A) multiply the numerator and the denominator by the same number B) add the same number to the numerator and the denominator C) subtract the same number from the numerator and the denominator D) divide the numerator and the denominator by the same number 42) 43) The largest possible number that will divide equally into or more other numbers is called the: A) least common denominator B) denominator C) numerator D) greatest common divisor 43) Change the fraction to an equivalent fraction with the given denominator ? 44) = 14 A) 45) 14 B) 14 C) 21 14 44) D) 14 ? = A) 45) B) 9 C) D) Provide an appropriate response 46) You can rewrite a fraction to higher terms by adding the numerator and the denominator A) True B) False 47) Raising a fraction to higher terms changes the value of the fraction A) True B) False 46) 47) Perform the indicated operation Write the sum as a fraction, whole number, or mixed number in lowest terms 1 48) 48) + + 10 10 10 A) 49) B) 1000 C) D) 30 + 5 A) 50) 10 49) B) C) 10 D) 5 + 9 A) 50) B) 10 C) D) 51) + 8 A) 51) B) C) D) Find the difference Write the difference in lowest terms 52) 2 A) 53) 11 B) 52) C) 15 D) 28 28 A) 53) B) C) D) 14 Provide an appropriate response 54) A prime number is any number larger than that is divisible only by itself and A) True B) False 54) 55) Which of the following statements is correct? A) a prime number can be divided only by and itself B) prime numbers are also known as least common denominators C) prime numbers are the reciprocals of fractions D) none of these 56) Which of the following is not a prime number? A) 19 B) 29 55) 56) C) D) 41 57) Before fractions may be added or subtracted, they must all have the same: A) divisor B) numerator C) denominator 57) D) dividend SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 58) When you add or subtract fractions, you must first change the fractions so that they have the same 58) 59) When you add fractions with the same denominator, you add the and then 59) 60) When you subtract fractions with the same denominator, you simply subtract the , place the difference over the denominator, and reduce to the lowest terms 60) place that number over the denominator and to the lowest terms MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Perform the indicated operation Write the sum as a fraction, whole number, or mixed number in lowest terms 1 61) + 61) A) 62) B) C) D) 13 32 1 + A) 63) 62) B) C) 13 27 D) + 12 A) 64) B) 2 D) 64) B) C) 10 D) + 14 A) 22 66) 20 25 28 65) B) 25 28 C) 23 25 28 D) 24 25 28 + 17 + 14 7 A) 51 67) C) +1 8 A) 65) 63) 66) B) 52 C) 52 D) 53 2 +5 + 3 A) 12 68) 14 67) B) 11 C) 11 D) 10 +4 + 3 A) 19 68) B) 20 C) 19 D) 18 69) 1 +6 +1 A) 13 70) 21 16 16 C) 13 D) 13 32 70) B) 31 48 C) 31 48 D) 5 27 +2 +3 12 A) 12 72) B) 13 +1 +1 16 A) 71) 69) 96 71) B) 11 24 C) 11 D) 12 24 +3 +6 A) 14 14 17 72) B) 318 16 45 C) 16 16 45 D) 16 106 45 Provide an appropriate response 73) The least common denominator of A) 73) B) 32 74) The least common denominator of A) , , and is: 32 C) 16 D) 64 5 , , , and is: 12 B) 74) C) D) 12 SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 75) When adding fractions with different denominators, you must first find the 75) MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Find the difference Write the difference in lowest terms 1 76) 12 A) 77) 84 B) 76) 84 C) D) A) 77) 72 B) 18 C) D) 78) -5 13 13 A) 79) 19 13 C) 13 D) 26 79) B) C) 28 D) 27 -5 A) 81) 15 - 14 80) B) 14 C) 11 14 D) 14 A) 14 82) B) 13 -9 7 A) 80) 13 13 78) 81) B) C) D) -5 12 A) 82) B) 12 C) 44 12 D) 12 Solve the problem 1 83) Ellen is knitting a scarf with one -inch blue stripe, one -inch green stripe, and one 6-inch white stripe How wide is the scarf? A) in B) in 11 27 C) 11 in 41 84) While shopping for a party, June bought pounds of hamburger, 1 D) 13 83) in pounds of chicken, and 84) pounds of ham How much meat did she buy? A) 56 lb 419 85) A laminated lab bench has B) lb 19 C) lb D) 27 lb 56 inches of plywood, inches of pressed board, and inch of 11 formica What is the thickness of the lab bench? 38 19 A) in B) in 165 23 C) in 19 D) 165 in 863 85) 86) To obtain a certain shade of paint, Peter mixed and A) gallons of white paint with gallons of brown 86) gallons of blue paint How much paint did he have? 16 gal 51 B) 10 87) Jeff studied math for 29 gal 30 C) 30 gal 329 D) 3 gal 16 hours, history for hours, and physics for hours How long did he 87) study? A) hr 19 B) 88) Peter must practice the piano 19 hr 46 C) D) 56 hr 467 hours per week He has already practiced hours How many more hours does he need to practice? A) hr B) hr 15 89) A nail 19 hr 56 C) 14 hr 15 D) hr 1 inches long is driven into a board inches thick How much of the nail protrudes from the other side of the board? A) in B) in 24 90) Jake wants to work C) D) C) hr D) 92) A tank contains B) yd 10 C) 17 yd D) 11 gallons of water Its capacity is gallons How much more water is needed to B) gal C) 10 gal 12 D) 91) yd 10 fill it? A) gal 90) hr yards of fabric on a bolt After a customer bought yards of fabric, how many yards were left? A) yd 89) in 1 hours at his part-time job this week He has already worked hours How many more hours does he need to work? A) hr B) hr 91) There were 15 in 12 88) gal 92) 93) Brian was training to run a marathon During the three-day period before the race he decided that he would train for a total of 11 hours If he trained for hours on the first day and hours on 10 the second day, how many hours would he need to train on the third day? A) hr B) hr C) hr 10 10 D) hr 10 Find the product 94) × A) 95) 12 94) B) C) D) × A) 96) 95) B) D) B) C) 2 45 D) 97) B) 31 C) 30 D) 21 42 63 ×3 98) B) C) 11 D) 12 ×3 A) 100) 14 ×7 A) 99) C) 96) A) 34 98) × A) 97) 3 99) B) C) 15 D) 1 ×2 10 A) 101) × 93) 50 100) B) 50 C) 25 D) 13 25 A) 36 101) B) C) 11 36 D) 36 102) × 10 A) 102) B) 20 C) 20 D) 10 20 Provide an appropriate response 103) When you multiply or divide fractions, you must first find the common denominator A) True B) False 103) 104) When multiplying two proper fractions, the product: A) is always a proper fraction B) has a value between the two fractions C) has a value equal to D) is always greater than 104) 105) Reducing before multiplying: A) is an alternative method for multiplying fractions B) has a definite set of rules C) results in multiplying a number evenly times the top and bottom of a fraction or fractions D) raises fractions to their highest terms 105) 106) When you multiply fractions, you not have to use: A) products B) quotients C) reciprocals 106) D) none of these Find the reciprocal 107) A) 108) B) C) D) 108) A) 109) 107) B) C) D) 12 109) C) 12 A) B) 12 A) B) C) B) 12 C) 12 D) 110) 110) D) 111) 12 111) 12 A) 12 D) 112) A) 112) 31 B) 31 C) 31 D) Provide an appropriate response 113) Multiplication and division of fractions are totally dissimilar activities requiring separate skills A) True B) False 114) The following two numbers are considered to be reciprocals: A) True 27 and 27 113) 114) B) False 115) If the product of two numbers is 1, they are said to be: A) quotients B) unequal C) mixed numbers D) reciprocals 115) 116) The reciprocal is used: A) to replace the cancellation method C) in multiplying fractions 116) B) in dividing whole numbers D) in dividing fractions SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 117) Two numbers are if their product is after being multiplied 117) MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Find the quotient 118) ÷ A) 119) 15 C) 15 32 D) 119) B) C) D) ÷ A) 121) B) ÷ 21 A) 168 120) 118) 120) B) C) 35 D) ÷1 A) 121) 13 27 B) 24 C) 13 27 40 D) 4 122) 3 ÷2 A) 122) 23 B) 23 C) 22 D) 23 Provide an appropriate response 123) To divide by a fraction, divide the dividend by the reciprocal of the dividend A) True B) False 124) The reciprocal is not used in dividing fractions A) True 123) 124) B) False SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 125) When you multiply or divide fractions, you not have to find the 126) The division of a fraction also involves the operation of 127) To divide by a fraction, the dividend by the 125) 126) of the divisor 127) MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Solve the problem 128) A small company sells stock for A) 27 51 dollars 55 dollars per share How much will 192 shares cost? B) 1320 dollars 129) How many pieces of yarn C) 151 dollars 130) Tim needs to apply C) pieces B) 583 gallons C) 77 gallons 11 131) On a certain map, inch equals 24 miles How many miles are in B) 30 miles 132) A statistician has readings that take C) inches? 4 miles 23 C) 72 readings 14 130) D) 109 gallons 131) D) 138 miles minutes each to read and record How many readings can be completed in 264 minutes? A) 266 readings B) 968 readings 129) D) None of these gallons of herbicide per acre of soybeans How many gallons of herbicide are needed for 212 acres? A) 106 gallons A) 33 miles D) 144 dollars inches long can be cut from a 60 inch piece of yarn? Round answer to the nearest piece of yarn A) 495 pieces B) 121 pieces 128) D) 10 readings 132) 133) The floor of a rectangular room is to be tiled with foot square tiles along a foot wall How many tiles will be needed along the wall? A) tiles B) 18 tiles 8 C) 19 15 tiles D) 21 tiles 133) Answer Key Testname: UNTITLED22 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 39) 40) 41) 42) 43) 44) 45) 46) 47) 48) 49) 50) A A B A B A A B B B B A A C B A C C B B B B A B A D C A B B C A B D D B A A A B B D D B A B B C B D 16 Answer Key Testname: UNTITLED22 51) 52) 53) 54) 55) 56) 57) 58) 59) 60) 61) 62) 63) 64) 65) 66) 67) 68) 69) 70) 71) 72) 73) 74) 75) 76) 77) 78) 79) 80) 81) 82) 83) 84) 85) 86) 87) 88) 89) 90) 91) 92) 93) 94) 95) 96) 97) 98) 99) 100) B B B A A C C denominator numerators, reduce numerators B B D D C C B A A B D C B D Least Common Denominator A B C A D C D D D A B C C C D D C A C B D C D D D 17 Answer Key Testname: UNTITLED22 101) 102) 103) 104) 105) 106) 107) 108) 109) 110) 111) 112) 113) 114) 115) 116) 117) 118) 119) 120) 121) 122) 123) 124) 125) 126) 127) 128) 129) 130) 131) 132) 133) B A B A A C D A B B C C B A D D reciprocals B C D B A B B common denominator multiplication multiply, reciprocal B C B D C C 18 ... and denominator A) True B) False 38) 39) The letters GCD stand for Greatest Common Divisor A) True B) False 39) 40) The greatest common divisor can be zero A) True 40) B) False 41) Fractions should... revenue by writing as a fraction in lowest terms 29 22 439 13 A) B) C) D) 49 13 259 22 Find the greatest common divisor (GCD) for the following then simplify the fraction 16 35) 28 A) GCD = 3; B)... more other numbers is called the: A) least common denominator B) denominator C) numerator D) greatest common divisor 43) Change the fraction to an equivalent fraction with the given denominator