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jok3333 [9.3K]
3 years ago
5

What's the least common denominator of 3⁄4, 4⁄5, and 2⁄3?

Mathematics
2 answers:
Gnesinka [82]3 years ago
6 0
Because 5 is in this set, you can already exclude B. 2's factors can not be odd, so that excludes D. and 3's factors doesn't include 20, so you can exclude A.

Answer would be C.
Cloud [144]3 years ago
6 0

Answer:

Option (c) is correct.

least common common denominator is 60.

Step-by-step explanation:

Given  numbers are \frac{3}{4} \ ,\ \frac{4}{5} \ , \frac{2}{3}

We have to find the least common denominator for the given numbers.

least common number is the greatest value that is multiple of all the given numbers.

Since, denominator of given fractional numbers are 3, ,4 ,5

So least common denominator is the number that is multiple of all the given denominator.

Since, 3  = 3 × 1

4 =  2 ×  2

5 = 5 × 1

Least common number is find by multiplying all the factors and taking common factor one time.Since, 3, 4, 5 do not have any factor in common

So, the product of  3, 4, 5 are the least common denominator

thus, 3 ×  4 × 5 = 60

Thus, least common common denominator is 60.

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Answer:

The answer is (Choice C)  It is just right.

Step-by-step explanation:

<u><em>The question is incomplete, so the complete question is below:</em></u>

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A)  It is too strong. (Choice B)  It is too weak. (Choice C)  It is just right.

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So, we find first the unit rate of Peggy's iced tea bags per liter:

If, Peggy made a 12-liter batch of iced tea with 90 tea bags.

Then, Peggy would made a 1-liter batch of iced tea with = \frac{90}{12} =7.5\ tea\ bags.

Now, to get the unit rate of Kermit's iced tea bags per liter:

If, Kermit made a 2 liter of iced tea with 15 tea bags.

Then, Kermit would made a 2 liter of iced tea with = \frac{15}{2} =7.5\ tea\ bags.

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3 years ago
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