Solve 1440*100/325*32/65*17/81=

$$1440 \times \frac{ 100 }{ 325 } \times \frac{ 32 }{ 65 } \times \frac{ 17 }{ 81 } =$$

Evaluate

$$\frac{69632}{1521}\approx 45.780407627$$

Solution Steps

Reduce the fraction \frac{100}{325} to lowest terms by extracting and canceling out 25.

$$1440\times \frac{4}{13}\times \frac{32}{65}\times \frac{17}{81}$$

Express 1440\times \frac{4}{13} as a single fraction.

$$\frac{1440\times 4}{13}\times \frac{32}{65}\times \frac{17}{81}$$

Multiply 1440 and 4 to get 5760.

$$\frac{5760}{13}\times \frac{32}{65}\times \frac{17}{81}$$

Multiply \frac{5760}{13} times \frac{32}{65} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5760\times 32}{13\times 65}\times \frac{17}{81}$$

Do the multiplications in the fraction \frac{5760\times 32}{13\times 65}.

$$\frac{184320}{845}\times \frac{17}{81}$$

Reduce the fraction \frac{184320}{845} to lowest terms by extracting and canceling out 5.

$$\frac{36864}{169}\times \frac{17}{81}$$

Multiply \frac{36864}{169} times \frac{17}{81} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36864\times 17}{169\times 81}$$

Do the multiplications in the fraction \frac{36864\times 17}{169\times 81}.

$$\frac{626688}{13689}$$

Reduce the fraction \frac{626688}{13689} to lowest terms by extracting and canceling out 9.

$$\frac{69632}{1521}$$

Factor

$$\frac{2 ^ {12} \cdot 17}{3 ^ {2} \cdot 13 ^ {2}} = 45\frac{1187}{1521} = 45.78040762656147$$