What is (6x^2y)/(12x^5y^7) ?

The solution to (6x^2y)/(12x^5y^7) is 1/(2x^3y^6)

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simplify (6x^2y)/(12x^5y^7)

simplify

\frac{6 x ^{2} y}{12 x ^{5} y ^{7}}

\frac{1}{2 x ^{3} y ^{6}}

Solution steps

\frac{6 x ^{2} y}{12 x ^{5} y ^{7}}

Factor the number:

12 = 6 \cdot 2

= \frac{6 x ^{2} y}{6 \cdot 2 x ^{5} y ^{7}}

Cancel the common factor:

6

= \frac{x ^{2} y}{2 x ^{5} y ^{7}}

Simplify

\frac{x ^{2}}{x ^{5}} : \frac{1}{x ^{3}}

= \frac{y}{2 x ^{3} y ^{7}}

Simplify

\frac{y}{y ^{7}} : \frac{1}{y ^{6}}

= \frac{1}{2 x ^{3} y ^{6}}

12 - (- 6)

5! \cdot 3!

\frac{1}{11 + 2 30} + \frac{1}{11 - 2 30}

\frac{x ^{2} + x}{x ^{2} + 3 x + 2}