What is (\frac{4n)/(n-6)}{(4n)/(8n-48)} ?

The solution to (\frac{4n)/(n-6)}{(4n)/(8n-48)} is 8

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simplify (\frac{4n)/(n-6)}{(4n)/(8n-48)}

simplify

\frac{\frac{4 n}{n - 6}}{\frac{4 n}{8 n - 48}}

8

Solution steps

\frac{\frac{4 n}{n - 6}}{\frac{4 n}{8 n - 48}}

Apply the fraction rule:

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

= \frac{4 n ( 8 n - 48 )}{( n - 6 ) \cdot 4 n}

Cancel the common factor:

4

= \frac{n ( 8 n - 48 )}{( n - 6 ) n}

Cancel the common factor:

n

= \frac{8 n - 48}{n - 6}

Factor

8 n - 48 : 8 (n - 6)

= \frac{8 ( n - 6 )}{n - 6}

Cancel the common factor:

n - 6

= 8

\frac{- 2 + 4}{2}

x^{12} - 81

(4 x - 1) (4 x - 4)

\frac{x ^{2 n + 3}}{- 4 x ^{n + 4}}

(2 x + y)^{8}

What is (\frac{4n)/(n-6)}{(4n)/(8n-48)} ?
The solution to (\frac{4n)/(n-6)}{(4n)/(8n-48)} is 8