What is (7/(8r-40))/(1/(8r-40)) ?

The solution to (7/(8r-40))/(1/(8r-40)) is 7

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simplify (7/(8r-40))/(1/(8r-40))

simplify

\frac{\frac{7}{8 r - 40}}{\frac{1}{8 r - 40}}

7

Solution steps

\frac{\frac{7}{8 r - 40}}{\frac{1}{8 r - 40}}

Apply the fraction rule:

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

= \frac{7 ( 8 r - 40 )}{( 8 r - 40 ) \cdot 1}

Cancel the common factor:

8 r - 40

= 7

4 + - 9

\frac{\frac{8 c ^{7}}{15 d ^{6}}}{\frac{6 c ^{2}}{5 d ^{3}}}

\frac{x ^{\frac{1}{2}}}{x ^{\frac{1}{3}}}

(x + 2) + (x + 2)

(2 x + 3) (2 x - 5)