What is (-5x^3y)/(15xy^3) ?

The solution to (-5x^3y)/(15xy^3) is -(x^2)/(3y^2)

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simplify (-5x^3y)/(15xy^3)

simplify

\frac{- 5 x ^{3} y}{15 x y ^{3}}

- \frac{x ^{2}}{3 y ^{2}}

Solution steps

\frac{- 5 x ^{3} y}{15 x y ^{3}}

Factor the number:

15 = 5 \cdot 3

= \frac{- 5 x ^{3} y}{5 \cdot 3 x y ^{3}}

Cancel the common factor:

5

= \frac{- x ^{3} y}{3 x y ^{3}}

Simplify

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

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

Simplify

\frac{y}{y ^{3}} : \frac{1}{y ^{2}}

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

- 11 < 5 + 4 x

- (x + 3) + \frac{3}{4} x + 5 = 0

\frac{3}{8} + \frac{1}{5}

(x - 9)^{2} \geq 2 (x - 9)

- 3 n < 7 n - 20 < 3 n