Solve (-81)*100/225*(-4/9)*1/16

$$(-81) \times \frac{ 100 }{ 225 } \times (- \frac{ 4 }{ 9 } ) \times \frac{ 1 }{ 16 }$$

Evaluate

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Solution Steps

Reduce the fraction \frac{100}{225} to lowest terms by extracting and canceling out 25.

$$-81\times \frac{4}{9}\left(-\frac{4}{9}\right)\times \frac{1}{16}$$

Express -81\times \frac{4}{9} as a single fraction.

$$\frac{-81\times 4}{9}\left(-\frac{4}{9}\right)\times \frac{1}{16}$$

Multiply -81 and 4 to get -324.

$$\frac{-324}{9}\left(-\frac{4}{9}\right)\times \frac{1}{16}$$

Divide -324 by 9 to get -36.

$$-36\left(-\frac{4}{9}\right)\times \frac{1}{16}$$

Express -36\left(-\frac{4}{9}\right) as a single fraction.

$$\frac{-36\left(-4\right)}{9}\times \frac{1}{16}$$

Multiply -36 and -4 to get 144.

$$\frac{144}{9}\times \frac{1}{16}$$

Divide 144 by 9 to get 16.

$$16\times \frac{1}{16}$$

Cancel out 16 and 16.

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Factor

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