What is ((2b-10)/3)/((b-5)/9) ?

The solution to ((2b-10)/3)/((b-5)/9) is 6

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simplify ((2b-10)/3)/((b-5)/9)

simplify

\frac{\frac{2 b - 10}{3}}{\frac{b - 5}{9}}

6

Solution steps

\frac{\frac{2 b - 10}{3}}{\frac{b - 5}{9}}

Apply the fraction rule:

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

= \frac{( 2 b - 10 ) \cdot 9}{3 ( b - 5 )}

Cancel

\frac{( 2 b - 10 ) \cdot 9}{3 ( b - 5 )} : 6

= 6

tan^{2} (θ) - sec^{2} (θ)

\frac{6 x ^{2} + 15 x}{12 x ^{2} - 75}

\frac{x}{x + 3} + \frac{3}{x + 3} + \frac{2}{x + 3}

\frac{5}{3} + \frac{1}{3}