What is (5m^2)/(10)\times (9y^2)/(7m) ?

The solution to (5m^2)/(10)\times (9y^2)/(7m) is (9my^2)/(14)

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simplify (5m^2)/(10)\times (9y^2)/(7m)

simplify

\frac{5 m ^{2}}{10} \cdot \frac{9 y ^{2}}{7 m}

\frac{9 m y ^{2}}{14}

Solution steps

\frac{5 m ^{2}}{10} \cdot \frac{9 y ^{2}}{7 m}

Cancel

\frac{5 m ^{2}}{10} : \frac{m ^{2}}{2}

= \frac{m ^{2}}{2} \cdot \frac{9 y ^{2}}{7 m}

Apply the fraction rule:

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

= \frac{m ^{2} \cdot 9 y ^{2}}{2 \cdot 7 m}

Simplify

\frac{m ^{2}}{m} : m

= \frac{m \cdot 9 y ^{2}}{2 \cdot 7}

Multiply the numbers:

2 \cdot 7 = 14

= \frac{m \cdot 9 y ^{2}}{14}

= \frac{9 m y ^{2}}{14}

2.7 t^{2} - 40 t + 7.5 = 0

K^{2} - 25 h^{2}

\frac{2}{5} + \frac{3}{5}

x + \frac{7}{8} = \frac{1}{4}

\frac{1}{2} (x - 4) = - 8

What is (5m^2)/(10)\times (9y^2)/(7m) ?
The solution to (5m^2)/(10)\times (9y^2)/(7m) is (9my^2)/(14)