What is (\frac{x+5)/(3x-21)}{(5x+25)/(6x-42)} ?

The solution to (\frac{x+5)/(3x-21)}{(5x+25)/(6x-42)} is 2/5

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simplify (\frac{x+5)/(3x-21)}{(5x+25)/(6x-42)}

simplify

\frac{\frac{x + 5}{3 x - 21}}{\frac{5 x + 25}{6 x - 42}}

\frac{2}{5}

Decimal Notation

0.4

Solution steps

\frac{\frac{x + 5}{3 x - 21}}{\frac{5 x + 25}{6 x - 42}}

Apply the fraction rule:

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

= \frac{( x + 5 ) ( 6 x - 42 )}{( 3 x - 21 ) ( 5 x + 25 )}

Cancel

\frac{( x + 5 ) ( 6 x - 42 )}{( 3 x - 21 ) ( 5 x + 25 )} : \frac{2}{5}

= \frac{2}{5}

6 (w - 1)

\frac{2 + tan ^{2} ( x )}{sec ^{2} ( x )} - 1

\frac{2}{5} \times \frac{3}{7}

a (a + b - (- c)) - b c

2 lo g_{2} (6)

What is (\frac{x+5)/(3x-21)}{(5x+25)/(6x-42)} ?
The solution to (\frac{x+5)/(3x-21)}{(5x+25)/(6x-42)} is 2/5