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DerKrebs [107]
3 years ago
12

LCD of 1/15 and 9/10

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

The LCD of the 2 fractions is 30 by multiplying the first fraction by 2 and the second fraction by 3 for example:

1/15 x 2/2 = 2/30

9/10 x 3/3 = 27/30

Which these 2 fraction equals up to 29/30 Hope this helps my dude ^^

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artcher [175]
The formulas:
\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
\log_a (x^n)n \log_a x

Expand the expression:
\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p

Plug the values into the expression:
\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\
\boxed{\log_b (\frac{m^2n}{p})=2.5}
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see the attached figure to better understand the problem

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