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2 years ago

QUESTION. What is an improper fraction? An improper fraction: Does anyone know this?

Mathematics

2 answers:

Gekata [30.6K]2 years ago

5 0

Answer:

An improper fraction is when the numerator is a larger number than the denominator. An improper fraction is also what the fraction is before you simplify it down to either a whole number or a mixed number.

An example of an improper fraction simplified to a whole number is 25/5. This can be simplified down to 5.

An example of an improper fraction simplified to a mixed number is 17/3. This can be simplified down to 5-2/3.

Kruka [31]2 years ago

3 0

Answer:

An improper fraction is when the numerator of the fraction is larger than the denominator

For example, 13/4 is improper because 13 > 4

An improper fraction can be changed into a mixed number by dividing the numerator by the denominator

For example, 13 divided by 4 is 3 with remainder 1, or 3 1/4

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Logarithms

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

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We are given the equation:

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Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

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Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

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Simplifying:

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Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

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