Solve 3/10*3/5*6/9*9/19

$$\frac { 3 } { 10 } \times \frac { 3 } { 5 } * \frac { 6 } { 9 } * \frac { 9 } { 19 }$$

Evaluate

$$\frac{27}{475}\approx 0.056842105$$

Solution Steps

Multiply \frac{3}{10} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{10\times 5}\times \frac{6}{9}\times \frac{9}{19}$$

Do the multiplications in the fraction \frac{3\times 3}{10\times 5}.

$$\frac{9}{50}\times \frac{6}{9}\times \frac{9}{19}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{9}{50}\times \frac{2}{3}\times \frac{9}{19}$$

Multiply \frac{9}{50} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 2}{50\times 3}\times \frac{9}{19}$$

Do the multiplications in the fraction \frac{9\times 2}{50\times 3}.

$$\frac{18}{150}\times \frac{9}{19}$$

Reduce the fraction \frac{18}{150} to lowest terms by extracting and canceling out 6.

$$\frac{3}{25}\times \frac{9}{19}$$

Multiply \frac{3}{25} times \frac{9}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 9}{25\times 19}$$

Do the multiplications in the fraction \frac{3\times 9}{25\times 19}.

$$\frac{27}{475}$$

Factor

$$\frac{3 ^ {3}}{5 ^ {2} \cdot 19} = 0.056842105263157895$$