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2 years ago

15

At the party, 6/16 of the guest were playing games and 3/8 of the guest were singing.Pat said that the number of guest were play

ing games as were singing .Is she right?Explain

2 answers:

ziro4ka [17]2 years ago

8 0

Yes. 6/16 simplifies to 3/8, which is the same amount of people singing.

IgorLugansk [536]2 years ago

5 0

Yes because half of 6/16 is 3/8

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sukhopar [10]

Answer:

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(b) 117

(c) 360

(d) 588

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Step-by-step explanation:

To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.

2.

(a)

$72 = 2^3 \times 3^2$

$144 = 2^4 \times 3^2$

$LCM = 2^4 \times 3^2 = 8 \times 9 = 144$

(b)

$39 = 3 \times 13$

$117 = 3^2 \times 13$

$LCM = 3^2 \times 13 = 117$

(c)

$72 = 2^3 \times 3^2$

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$LCM = 2^3 \times 3^2 \times 5 = 360$

(d)

$84 = 2^2 \times 3 \times 7$

$147 = 3 \times 7^2$

$LCM = 2^2 \times 3 \times 7^2 = 588$

(e)

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$288 = 2^5 \times 3^2$

$LCM = 2^5 \times 3^2 \times 19 = 5472$

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