Solve 1440*100/325*26/72*17/81=

$$1440 \times \frac{ 100 }{ 325 } \times \frac{ 26 }{ 72 } \times \frac{ 17 }{ 81 } =$$

Evaluate

$$\frac{2720}{81}\approx 33.580246914$$

Solution Steps

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

$$1440\times \frac{4}{13}\times \frac{26}{72}\times \frac{17}{81}$$

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

$$\frac{1440\times 4}{13}\times \frac{26}{72}\times \frac{17}{81}$$

Multiply 1440 and 4 to get 5760.

$$\frac{5760}{13}\times \frac{26}{72}\times \frac{17}{81}$$

Reduce the fraction \frac{26}{72} to lowest terms by extracting and canceling out 2.

$$\frac{5760}{13}\times \frac{13}{36}\times \frac{17}{81}$$

Multiply \frac{5760}{13} times \frac{13}{36} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5760\times 13}{13\times 36}\times \frac{17}{81}$$

Cancel out 13 in both numerator and denominator.

$$\frac{5760}{36}\times \frac{17}{81}$$

Divide 5760 by 36 to get 160.

$$160\times \frac{17}{81}$$

Express 160\times \frac{17}{81} as a single fraction.

$$\frac{160\times 17}{81}$$

Multiply 160 and 17 to get 2720.

$$\frac{2720}{81}$$

Factor

$$\frac{2 ^ {5} \cdot 5 \cdot 17}{3 ^ {4}} = 33\frac{47}{81} = 33.58024691358025$$