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Elanso [62]
2 years ago
13

Please help......................................

Mathematics
1 answer:
morpeh [17]2 years ago
7 0

given:

she had: $35.13

+ her mom gave her: $7.50

+ she was paid $10.35

- add all of these up for total.

35.13 + 7.50 + 10.35

= $52.98

<em>look back at the answer i posted before for explanations. the answer for this would be 4/14, which is simplified to 2/7.</em>

<em />

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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.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

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

Multiples of 8:  8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

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.

8 = 2 x 2 x 2 = 2^3

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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