What is (25n+25)/5*4/(30n+30) ?

The solution to (25n+25)/5*4/(30n+30) is 2/3

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simplify (25n+25)/5*4/(30n+30)

simplify

\frac{25 n + 25}{5} \cdot \frac{4}{30 n + 30}

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

\frac{25 n + 25}{5} \cdot \frac{4}{30 n + 30}

Cancel

\frac{25 n + 25}{5} : 5 (n + 1)

= 5 (n + 1) \frac{4}{30 n + 30}

Cancel

\frac{4}{30 n + 30} : \frac{2}{15 ( n + 1 )}

= 5 (n + 1) \frac{2}{15 ( n + 1 )}

Apply the fraction rule:

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

= \frac{5 ( n + 1 ) \cdot 2}{15 ( n + 1 )}

Cancel the common factor:

n + 1

= \frac{5 \cdot 2}{15}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 2}{5 \cdot 3}

Cancel the common factor:

5

= \frac{2}{3}

(3 x^{2}) (4 x^{5} - 10 x^{4} + 6 x^{3})

\frac{10}{200}

\frac{( x ^{- 1} y ) ^{- 3}}{4 x ^{- 2} y ^{3}}

- sin (x) - cos (x)