What is (5x^2)/y*(3y)/(7x) ?

The solution to (5x^2)/y*(3y)/(7x) is (15x)/7

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simplify (5x^2)/y*(3y)/(7x)

simplify

\frac{5 x ^{2}}{y} \cdot \frac{3 y}{7 x}

\frac{15 x}{7}

Solution steps

\frac{5 x ^{2}}{y} \cdot \frac{3 y}{7 x}

Apply the fraction rule:

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

= \frac{5 x ^{2} \cdot 3 y}{y \cdot 7 x}

Cancel the common factor:

y

= \frac{5 x ^{2} \cdot 3}{7 x}

Simplify

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

= \frac{5 x \cdot 3}{7}

Multiply the numbers:

5 \cdot 3 = 15

= \frac{15 x}{7}

\frac{5}{12} + \frac{1}{2}

x^{4} + 2 x^{3} - 2 x^{2} - 3 x + 2

- x + \frac{1}{2} x = \frac{67}{12} + x + \frac{5}{3} - 2

(\frac{2}{3} a^{m}) (\frac{3}{4} a^{2} b^{4}) (- 3 a^{4} b^{x + 1})

- 4 x + \frac{4}{9} = \frac{7}{9}