Solve 1/6*1/4*4*2/3*3/2*frac{4}{5}

$$\frac { 1 } { 6 } \times \frac { 1 } { 4 } \times 4 \times \frac { 2 } { 3 } \times \frac { 3 } { 2 } \times \frac { 4 } { 5 }$$

Evaluate

$$\frac{2}{15}\approx 0.133333333$$

Solution Steps

Multiply \frac{1}{6} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{6\times 4}\times 4\times \frac{2}{3}\times \frac{3}{2}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{1\times 1}{6\times 4}.

$$\frac{1}{24}\times 4\times \frac{2}{3}\times \frac{3}{2}\times \frac{4}{5}$$

Multiply \frac{1}{24} and 4 to get \frac{4}{24}.

$$\frac{4}{24}\times \frac{2}{3}\times \frac{3}{2}\times \frac{4}{5}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}\times \frac{2}{3}\times \frac{3}{2}\times \frac{4}{5}$$

Multiply \frac{1}{6} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2}{6\times 3}\times \frac{3}{2}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{1\times 2}{6\times 3}.

$$\frac{2}{18}\times \frac{3}{2}\times \frac{4}{5}$$

Reduce the fraction \frac{2}{18} to lowest terms by extracting and canceling out 2.

$$\frac{1}{9}\times \frac{3}{2}\times \frac{4}{5}$$

Multiply \frac{1}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{9\times 2}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{1\times 3}{9\times 2}.

$$\frac{3}{18}\times \frac{4}{5}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$\frac{1}{6}\times \frac{4}{5}$$

Multiply \frac{1}{6} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{6\times 5}$$

Do the multiplications in the fraction \frac{1\times 4}{6\times 5}.

$$\frac{4}{30}$$

Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.

$$\frac{2}{15}$$

Factor

$$\frac{2}{3 \cdot 5} = 0.13333333333333333$$