Solve 1/3*1/3*4/5*1/2=

$$\frac { 1 } { 3 } \times \frac { 1 } { 3 } \times \frac { 4 } { 5 } \times \frac { 1 } { 2 } =$$

Evaluate

$$\frac{2}{45}\approx 0.044444444$$

Solution Steps

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

$$\frac{1\times 1}{3\times 3}\times \frac{4}{5}\times \frac{1}{2}$$

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

$$\frac{1}{9}\times \frac{4}{5}\times \frac{1}{2}$$

Multiply \frac{1}{9} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{9\times 5}\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{1\times 4}{9\times 5}.

$$\frac{4}{45}\times \frac{1}{2}$$

Multiply \frac{4}{45} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 1}{45\times 2}$$

Do the multiplications in the fraction \frac{4\times 1}{45\times 2}.

$$\frac{4}{90}$$

Reduce the fraction \frac{4}{90} to lowest terms by extracting and canceling out 2.

$$\frac{2}{45}$$

Factor

$$\frac{2}{3 ^ {2} \cdot 5} = 0.044444444444444446$$