Mathematics: Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over y EndFraction divided by StartFraction 1 Over x EndFraction + StartFraction 1 Over y EndFraction

Which expression is equivalent to the following

Ответ:

nama34

29.01.2022

Mathematics

The equivalent fraction of the given fraction is needed.

The equivalent fraction is $\dfrac{y-x}{y+x}$

The given fraction is

$\dfrac{\dfrac{1}{x}-\dfrac{1}{y}}{\dfrac{1}{x}+\dfrac{1}{y}}$

Simplifying the fraction

$\dfrac{\dfrac{y-x}{xy}}{\dfrac{y+x}{xy}}\\ =\dfrac{y-x}{xy}\times \dfrac{xy}{y+x}\\ =\dfrac{y-x}{y+x}$

The equivalent fraction is $\dfrac{y-x}{y+x}$

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Ответ:

oomale

29.01.2022

Mathematics

$\frac{y-x}{x+y}$

Step-by-step explanation:

We are given that fraction

$\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}$

We have to find the expression which is equivalent to given fraction .

$\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}$

$\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}$

Substitute the values then, we get

$\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}$

We know that

$\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}$

Using the property then, we get

$\frac{y-x}{xy}\times \frac{xy}{x+y}$

$\frac{y-x}{x+y}$

This is required expression which is equivalent to given expression.

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Ответ:

ichabella2010

25.11.2020

Mathematics

No. 19 times 8 equals 152. thats one off

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Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over y EndFraction divided by StartFraction 1 Over x EndFraction + StartFraction 1 Over y EndFraction

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