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olya-2409 [2.1K]
3 years ago
10

Are 4/3×2/9 less than 2/9 plz explain

Mathematics
2 answers:
Vsevolod [243]3 years ago
7 0
For multiplying fractions, you just multiply the numerator of the first by the numerator of the second and the denominator of the first by the denominator of the second. Therefore you would get (8/27). To compare fractions, you like to have the same denominator, 2/9 is the same thing as 6/27 (as both the numerator and denominator is multiplied by 3). Therefore, 8/27 is greater than 6/27 and therefore (4/3)*(2/9) is greater than 2/9. You can also think of it in the sense that 4/3 is greater than 1 and you are multiplying it by 2/9 so that quantity will be greater than 2/9.
koban [17]3 years ago
6 0
Hello there! For this question, we will multiply fractions. To multiply fractions, all we have to do is multiply straight across. Multiply the numerators together and all of the denominators together. 4 * 2 is 8. 3 * 9 is 27. The product is 8/27. To compare the fractions, we can cross multiply both fractions to see what we get. Set it up like this:

8/27   2/9

27 * 2 is 54. 9 * 8 is 72. 2/9 is 54. 8/27 is 72. 72 > 54. 8/27 > 2/9. Yes. 8/27 is greater than 2/9, because when we corss multiply, it has the higher number.
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When is the product of two integers less than or equal to both of the two factors
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A student in a wildlife biology class wants to determine the abundance of a rodent species in a local nature preserve, divided i
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There are 100 people in a sport centre.
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We need to determinate who doesn't use anything, so first we must know the real number of who are practising: a person can do more things.

For doing this, is better use a three-circles graphic, but we try to do without it.

So

  • 16 pool + gym + track, and this number is sure
  • 38 gym + pool, but this number includes the people of 1st point. We must know who do only gym + pool: 38 - 16 = 22
  • 31 pool + track, this number also includes people of 1st point, so: only pool + track 31 - 16 = 15
  • 33 gym + track, this number also includes people of 1st point, so: only gym + track 33 - 16 = 17

now:

  • 67 gym, we must know who use only gym: 67 - 16 (gym + pool + track) - 22 (gym + pool) - 17 (gym + track) = 12
  • 62 pool, we must know who use only pool: 62 - 16 (gym + pool + track) - 22 (gym + pool) - 15 (pool + track) = 9
  • 56 track, we must know who use only track: 56 - 16 (gym + pool + track) - 15 (pool + track) - 17 (gym + track) = 8

now we must now who do some facility: let's sum all

16 + 22 + 15 + 17 + 12 + 9 + 8 = 99

99/100 practise something

So only 1/100 doesn't use nothing

The probability is 1%

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