What is (5y^2)/3*(9x)/(10y) ?

The solution to (5y^2)/3*(9x)/(10y) is (3yx)/2

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simplify (5y^2)/3*(9x)/(10y)

simplify

\frac{5 y ^{2}}{3} \cdot \frac{9 x}{10 y}

\frac{3 y x}{2}

Solution steps

\frac{5 y ^{2}}{3} \cdot \frac{9 x}{10 y}

Apply the fraction rule:

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

= \frac{5 y ^{2} \cdot 9 x}{3 \cdot 10 y}

Factor the number:

10 = 5 \cdot 2

= \frac{5 y ^{2} \cdot 9 x}{3 \cdot 5 \cdot 2 y}

Cancel the common factor:

5

= \frac{y ^{2} \cdot 9 x}{3 \cdot 2 y}

Factor the number:

9 = 3 \cdot 3

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

Cancel the common factor:

3

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

Simplify

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

= \frac{y \cdot 3 x}{2}

= \frac{3 y x}{2}

\frac{4}{9} + \frac{2}{9}

\frac{v ^{2} - 7 v - 30}{v ^{2} - 5 v - 24}

(5 a^{2} - 6 a - 4) - (- 7 a^{2} + 3 a - 9)

\frac{2 x}{3 x}

3 x^{- 5}