What is (\frac{15a-35)/(25)*(6a^2)/(3a-7)}{(a^2)/(35)} ?

The solution to (\frac{15a-35)/(25)*(6a^2)/(3a-7)}{(a^2)/(35)} is 42

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simplify (\frac{15a-35)/(25)*(6a^2)/(3a-7)}{(a^2)/(35)}

simplify

\frac{\frac{15 a - 35}{25} \cdot \frac{6 a ^{2}}{3 a - 7}}{\frac{a ^{2}}{35}}

42

Solution steps

\frac{\frac{15 a - 35}{25} \cdot \frac{6 a ^{2}}{3 a - 7}}{\frac{a ^{2}}{35}}

Apply the fraction rule:

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

= \frac{\frac{15 a - 35}{25} \cdot \frac{6 a ^{2}}{3 a - 7} \cdot 35}{a ^{2}}

Cancel

\frac{\frac{15 a - 35}{25} \cdot \frac{6 a ^{2}}{3 a - 7} \cdot 35}{a ^{2}} : 42

= 42

\frac{1}{3} + \frac{4}{9}

(x + y) 3

\frac{2 5}{2}

\frac{2 π}{3} \div 4

\frac{64 a ^{3} + 343}{4 a + 7}

What is (\frac{15a-35)/(25)*(6a^2)/(3a-7)}{(a^2)/(35)} ?
The solution to (\frac{15a-35)/(25)*(6a^2)/(3a-7)}{(a^2)/(35)} is 42