Solve 3/5*1/9*5/7*4/11

$$\frac { 3 } { 5 } \cdot \frac { 1 } { 9 } \cdot \frac { 5 } { 7 } \cdot \frac { 4 } { 11 }$$

Evaluate

$$\frac{4}{231}\approx 0.017316017$$

Solution Steps

Multiply \frac{3}{5} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{5\times 9}\times \frac{5}{7}\times \frac{4}{11}$$

Do the multiplications in the fraction \frac{3\times 1}{5\times 9}.

$$\frac{3}{45}\times \frac{5}{7}\times \frac{4}{11}$$

Reduce the fraction \frac{3}{45} to lowest terms by extracting and canceling out 3.

$$\frac{1}{15}\times \frac{5}{7}\times \frac{4}{11}$$

Multiply \frac{1}{15} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{15\times 7}\times \frac{4}{11}$$

Do the multiplications in the fraction \frac{1\times 5}{15\times 7}.

$$\frac{5}{105}\times \frac{4}{11}$$

Reduce the fraction \frac{5}{105} to lowest terms by extracting and canceling out 5.

$$\frac{1}{21}\times \frac{4}{11}$$

Multiply \frac{1}{21} times \frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{21\times 11}$$

Do the multiplications in the fraction \frac{1\times 4}{21\times 11}.

$$\frac{4}{231}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 7 \cdot 11} = 0.017316017316017316$$