Mathematics: Which expression is equivalent to the following complex fraction? 1/x-1/y / 1/x+1/y a. y+x/y-x b. (y-x)(y+x)/ x^2 y^2 c. x^2 y^2/ (y+x) (y+x) d. y-x/y+x

Which expression is equivalent to the following

Ответ:

fili20

11.03.2022

Mathematics

(D) $\frac{y-x}{y+x}$

Explanation:

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

Just a note on writing down these expressions: I recommend using parentheses whenever you can to avoid misinterpretation. An expression 1/x-1/y / 1/x+1/y could be interpreted by someone as 1/x-(1/y / 1/x)+1/y, which is a different thing.

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Ответ:

EllaSue

11.05.2020

Mathematics

Let's use x for Oana's age and y for her brother's age. That means
2y = x + 8
And Oana is 12 so...
2y = 12 + 8 --> 2y = 20 --> y = 10
Oana's brother is 10 years old now.

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Which expression is equivalent to the following complex fraction? 1/x-1/y / 1/x+1/y a. y+x/y-x b. (y-x)(y+x)/ x^2 y^2 c. x^2 y^2/ (y+x) (y+x) d. y-x/y+x

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