What is ((x+17)/x+7)/((x+10)/x+7) ?

The solution to ((x+17)/x+7)/((x+10)/x+7) is (8x+17)/(8x+10)

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simplify ((x+17)/x+7)/((x+10)/x+7)

simplify

\frac{\frac{x + 17}{x} + 7}{\frac{x + 10}{x} + 7}

\frac{8 x + 17}{8 x + 10}

Solution steps

\frac{\frac{x + 17}{x} + 7}{\frac{x + 10}{x} + 7}

Join

\frac{x + 17}{x} + 7 : \frac{8 x + 17}{x}

= \frac{\frac{8 x + 17}{x}}{\frac{x + 10}{x} + 7}

Join

\frac{x + 10}{x} + 7 : \frac{8 x + 10}{x}

= \frac{\frac{8 x + 17}{x}}{\frac{8 x + 10}{x}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( 8 x + 17 ) x}{x ( 8 x + 10 )}

Cancel the common factor:

x

= \frac{8 x + 17}{8 x + 10}

(1.1)^{2}

sec^{2} (θ) - tan^{2} (θ)

(810) (85)

(- 32)^{- \frac{2}{5}}

sec (x) \cdot cos (x)

What is ((x+17)/x+7)/((x+10)/x+7) ?
The solution to ((x+17)/x+7)/((x+10)/x+7) is (8x+17)/(8x+10)