Solve 8/12*4/11*3/10*2/9*4

$$\frac { 8 } { 12 } \times \frac { 4 } { 11 } \times \frac { 3 } { 10 } \times \frac { 2 } { 9 } \times 4$$

Evaluate

$$\frac{32}{495}\approx 0.064646465$$

Solution Steps

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}\times \frac{4}{11}\times \frac{3}{10}\times \frac{2}{9}\times 4$$

Multiply \frac{2}{3} times \frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{3\times 11}\times \frac{3}{10}\times \frac{2}{9}\times 4$$

Do the multiplications in the fraction \frac{2\times 4}{3\times 11}.

$$\frac{8}{33}\times \frac{3}{10}\times \frac{2}{9}\times 4$$

Multiply \frac{8}{33} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 3}{33\times 10}\times \frac{2}{9}\times 4$$

Do the multiplications in the fraction \frac{8\times 3}{33\times 10}.

$$\frac{24}{330}\times \frac{2}{9}\times 4$$

Reduce the fraction \frac{24}{330} to lowest terms by extracting and canceling out 6.

$$\frac{4}{55}\times \frac{2}{9}\times 4$$

Multiply \frac{4}{55} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 2}{55\times 9}\times 4$$

Do the multiplications in the fraction \frac{4\times 2}{55\times 9}.

$$\frac{8}{495}\times 4$$

Express \frac{8}{495}\times 4 as a single fraction.

$$\frac{8\times 4}{495}$$

Multiply 8 and 4 to get 32.

$$\frac{32}{495}$$

Factor

$$\frac{2 ^ {5}}{3 ^ {2} \cdot 5 \cdot 11} = 0.06464646464646465$$