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$Simplify the complex fraction. ((7)/(x)+(2)/(y))/((1)/(xy))=$

Simplify the complex fraction. $\newline$ $\frac{\frac{7}{x}+\frac{2}{y}}{\frac{1}{x y}}=$

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Simplify variable expressions using properties

Full solution

Q. Simplify the complex fraction.

\newline

\frac{\frac{7}{x}+\frac{2}{y}}{\frac{1}{x y}}=

Find Common Denominator: First, find a common denominator for the fractions in the numerator, which is $xy$ . So, we rewrite $(\frac{7}{x})$ as $(\frac{7y}{xy})$ and $(\frac{2}{y})$ as $(\frac{2x}{xy})$ .
Add Fractions: Now, add the two fractions in the numerator: $(\frac{7y}{xy}) + (\frac{2x}{xy}) = \frac{7y + 2x}{xy}$ .
Divide Numerator: Next, divide the numerator by the denominator. Since we're dividing by $(1/xy)$ , it's the same as multiplying by $xy$ . So, $(7y + 2x)/(xy) \times (xy/1) = (7y + 2x)$ .
Simplify Expression: Finally, we simplify the expression if possible. But since $7y + 2x$ cannot be simplified further, that's our final answer.

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