What is (7/a+b/(35))/(\frac{5b){7a}} ?

The solution to (7/a+b/(35))/(\frac{5b){7a}} is (245+ba)/(25b)

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simplify (7/a+b/(35))/(\frac{5b){7a}}

simplify

\frac{\frac{7}{a} + \frac{b}{35}}{\frac{5 b}{7 a}}

\frac{245 + ba}{25 b}

Solution steps

\frac{\frac{7}{a} + \frac{b}{35}}{\frac{5 b}{7 a}}

Apply the fraction rule:

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

= \frac{( \frac{7}{a} + \frac{b}{35} ) \cdot 7 a}{5 b}

Simplify

(\frac{7}{a} + \frac{b}{35}) \cdot 7 a : \frac{245 + ba}{5}

= \frac{\frac{245 + ba}{5}}{5 b}

Apply the fraction rule:

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

= \frac{245 + ba}{5 \cdot 5 b}

Multiply the numbers:

5 \cdot 5 = 25

= \frac{245 + ba}{25 b}

\frac{x + 3}{x - 5} \leq 1

8 x^{2} + 4 x y

415 (- 36 + 5)

- 0.6 t^{2} + 42 t = 0

\frac{1}{2} + \frac{2}{1}

What is (7/a+b/(35))/(\frac{5b){7a}} ?
The solution to (7/a+b/(35))/(\frac{5b){7a}} is (245+ba)/(25b)