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Karo-lina-s [1.5K]
4 years ago
12

What is 3/4 of 16/21? worked out please

Mathematics
1 answer:
timofeeve [1]4 years ago
5 0
Of means multiplication

So

\frac{3}{4} \sf{of}  \frac{16}{21}  =  \frac{3}{4} \times  \frac{16}{21}

And then simplify the numerator ad denominator

= \frac{3 \times 16}{4 \times 21} =  \frac{\ 1 \times 16}{4 \times 7}

And simplify the numerator and denominator again

= \frac{\ 1 \times 16}{4 \times 7} = \frac{\ 1 \times 4}{1 \times 7}

And we are finally left with the answer which is \frac{4}{7}
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3 years ago
3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How
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Answer:

72

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The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

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One way to find out is to start making lists of multiples:

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Multiples of 18:  18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the <u>prime factorization</u> of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

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18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the <u>highest exponent</u> in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

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