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Answer Β· 0 votes
To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how. Let's try it with the fractions 23 and 312 12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also. Now you have the following: 812 and 312 These fractions now have common denominators! Now they're all set for adding or subtracting fractions. Try another: 26 and 35: The least common multiple of 6 and 5 is 30. (the product of the denominators) Transform each fraction by multiplying by "1": 26β
55 = 1030 and 35β
66 = 1830 One last problem: 49 and 76 What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the Lβ¦
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1.Whatβs the least common multiple (LCM) for each group of numbers? a. 6 and 15 b. 4 and 11 c. 6, 9, and 12 d. 8, 10, and 20 2.Whatβs the least common denominator (LCD) for each group of fractions? a. 1β6 and 7β8 b. 3β4 and 7β10 c. 7β12, 3β8 and 11β36 d. 8β15, 11β30 and 3β5 3.Insert the βequalβ sign or the βnot equalβ sign ( = or β ) to make each statement true. a. 18/36 1/2 b. 13/15 7/10 c. 3/5 5/9 d. 3/8 10/16 4.On a hot summer day, John drank 5β11 of a quart of iced tea; Gary drank 7β10 of a quart; and Carter drank 3β5 of a quart. Which man was the most thirsty? 5.Whatβs the largest fraction in each group? a. 5β6 and 29β36 b. 5β12 and 3β8 c. 2β5 and 19β45 d. 5β7, 13β14, and 19β21 e. 7β11 and 9β121 f. 1β2, 3β18, and 4β9 6.Reduce each of the following fractions to its simplest form. a. 12β18 b. 48β54 c. 27β90 d. 63β77 e. 24β32 f. 73β365 7.What is the next fraction in each of the following patterns? a. 1β40, 4β40, 9β40, 16β40, 25β40 . . .? b. 3β101, 4β101, 7β101, 11β101, 18β101, 29β101. . .? c. 5β1, 10β2, 9β2, 18β4, 17β8, 34β32, 33β256. . .? 8.In each pair, tell if the fractions are equal by using cross multiplication. a. 5β30 and 1β6 b. 4β12 and 21β60 c. 17β34 and 41β82 d. 6β9 and 25β36 9.This year, a baseball player made 92 hits out of 564 times at bat. Another player made 84 hits out of 634 times at bat. Did the two players have the same batting average? 10.On a test with 80 questions, Bob got 60 correct. On another test with 100 questions, he got 75 correct. Did Bob get the same score on both tests? 11.Find the missing numerators in each of the following problems. a. 10β15 = β60 b. β108 = 4β9 c. 7β11 = β121 d. β144 = 2β6 12.This handy application of LCMs is used by astronomers. All the planets in our solar system revolve around the sun. The planets occasionally line up together in their journeys, as shown in the illustration. The chart shows the time it takes each planet to make one trip around the sun. Now, imagine that the planets Earth, Mars, Jupiter, Saturn, Uranus, and Neptune aligned last night. How many years will pass before this happens again? (HintβFind the LCM of the planetsβ revolution times.) Solar System Planet Revolution Time Earth 1 year Mars 2 years Jupiter 12 years Saturn 30 years Uranus 84 years Neptune 165 years
Answer Β· 15 votes
1. a. 30b. 44c. 36d. 402. I don't really remember how to do these but if you cant make the denominator smaller then I belive it's a. 24b. 20c. 4d. 53.a. =b. not =c. not =d. not =4. Gary5. a. 5/6b. 5/12c. 19/45d. 13/14e. 7/11f. 1/26.a. 2/3b. 8/9c. 3/10d. 9/11e. 3/4f. 1/57.a. 36/40b. c. 8.a. yesb. noc. nod. no9. no10. yes11. a. 40b. 48c. 77d. 4812. 4,620
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what is the common denominator for 3/4 and 2/5
Answer Β· 0 votes
Hi Elikem! To find the common denominator. First check to see if one of the numbers is divisible by the other. In this case 4 is not divisible by 5 and 5 is not divisible by 4. So the next step is to find the common multiple. You do this by writing out the multiples of each. 4 8 12 16 20 24 28 5 10 15 20 25 When you find a common multiple, in this case 20, you have found the common denominator. Hope this helps!I am available for online tutoring for $35 per hour sessions.
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What is the least common denominator of 2/6 and 5/12β
Answer Β· 3 votes
12Step-by-step explanation:Rewriting input as fractions if necessary: 2/6, 5/12 For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12. Calculations to rewrite the original inputs as equivalent fractions with the LCD:2/6 = 2/6 Γ 2/2 = 4/125/12 = 5/12 Γ 1/1 = 5/12
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