What is (-y)/(3x)*(6z)/(-7y) ?

The solution to (-y)/(3x)*(6z)/(-7y) is (2z)/(7x)

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simplify (-y)/(3x)*(6z)/(-7y)

simplify

\frac{- y}{3 x} \cdot \frac{6 z}{- 7 y}

\frac{2 z}{7 x}

Solution steps

\frac{- y}{3 x} \cdot \frac{6 z}{- 7 y}

Apply the fraction rule:

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

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

= - \frac{y}{3 x} \cdot \frac{6 z}{- 7 y}

Apply the fraction rule:

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

\frac{6 z}{- 7 y} = - \frac{6 z}{7 y}

= - \frac{y}{3 x} (- \frac{6 z}{7 y})

Apply rule:

- a (- b) = ab

- \frac{y}{3 x} (- \frac{6 z}{7 y}) = \frac{y}{3 x} \cdot \frac{6 z}{7 y}

= \frac{y}{3 x} \cdot \frac{6 z}{7 y}

Apply the fraction rule:

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

= \frac{y \cdot 6 z}{3 x \cdot 7 y}

Cancel the common factor:

y

= \frac{6 z}{3 x \cdot 7}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 2 z}{3 x \cdot 7}

Cancel the common factor:

3

= \frac{2 z}{x \cdot 7}

= \frac{2 z}{7 x}

\frac{2}{5} x = 4 x - 12

∣ x + 6 ∣ \leq 4

- 0.25 x^{2} + 177.5 x = 57.5 x + 14400

\frac{2 ( x + 1 )}{6} = 3 x - 5

\frac{7 ^{2}}{7 ^{- 2}}

What is (-y)/(3x)*(6z)/(-7y) ?
The solution to (-y)/(3x)*(6z)/(-7y) is (2z)/(7x)