Solve 663/135*243/1989*75/39div221/1=

$$\frac { 663 } { 135 } \times \frac { 243 } { 1989 } \times \frac { 75 } { 39 } \div \frac { 221 } { 1 } =$$

Evaluate

$$\frac{15}{2873}\approx 0.005221023$$

Solution Steps

Reduce the fraction \frac{663}{135} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{221}{45}\times \frac{243}{1989}\times \frac{75}{39}}{\frac{221}{1}}$$

Reduce the fraction \frac{243}{1989} to lowest terms by extracting and canceling out 9.

$$\frac{\frac{221}{45}\times \frac{27}{221}\times \frac{75}{39}}{\frac{221}{1}}$$

Multiply \frac{221}{45} times \frac{27}{221} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{221\times 27}{45\times 221}\times \frac{75}{39}}{\frac{221}{1}}$$

Cancel out 221 in both numerator and denominator.

$$\frac{\frac{27}{45}\times \frac{75}{39}}{\frac{221}{1}}$$

Reduce the fraction \frac{27}{45} to lowest terms by extracting and canceling out 9.

$$\frac{\frac{3}{5}\times \frac{75}{39}}{\frac{221}{1}}$$

Reduce the fraction \frac{75}{39} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{3}{5}\times \frac{25}{13}}{\frac{221}{1}}$$

Multiply \frac{3}{5} times \frac{25}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 25}{5\times 13}}{\frac{221}{1}}$$

Do the multiplications in the fraction \frac{3\times 25}{5\times 13}.

$$\frac{\frac{75}{65}}{\frac{221}{1}}$$

Reduce the fraction \frac{75}{65} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{15}{13}}{\frac{221}{1}}$$

Anything divided by one gives itself.

$$\frac{\frac{15}{13}}{221}$$

Express \frac{\frac{15}{13}}{221} as a single fraction.

$$\frac{15}{13\times 221}$$

Multiply 13 and 221 to get 2873.

$$\frac{15}{2873}$$

Factor

$$\frac{3 \cdot 5}{13 ^ {2} \cdot 17} = 0.005221023320570832$$