What is (5y^2}{10x^2}*\frac{4x^2)/y ?

The solution to (5y^2}{10x^2}*\frac{4x^2)/y is 2y

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simplify (5y^2}{10x^2}*\frac{4x^2)/y

simplify

\frac{5 y ^{2}}{10 x ^{2}} \cdot \frac{4 x ^{2}}{y}

2 y

Solution steps

\frac{5 y ^{2}}{10 x ^{2}} \cdot \frac{4 x ^{2}}{y}

Cancel

\frac{5 y ^{2}}{10 x ^{2}} : \frac{y ^{2}}{2 x ^{2}}

= \frac{y ^{2}}{2 x ^{2}} \cdot \frac{4 x ^{2}}{y}

Apply the fraction rule:

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

= \frac{y ^{2} \cdot 4 x ^{2}}{2 x ^{2} y}

Cancel the common factor:

x^{2}

= \frac{y ^{2} \cdot 4}{2 y}

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

Simplify

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

= y \cdot 2

= 2 y

4 t - 3 > 37 t - 504 t - 3 > 37 t - 50

\frac{\frac{m - 4}{m + 4}}{( m + 2 )}

\frac{1}{2} + \frac{9}{2}

2 - 4

What is (5y^2}{10x^2}*\frac{4x^2)/y ?
The solution to (5y^2}{10x^2}*\frac{4x^2)/y is 2y