Solve 6/15*10/12*8/4*20/3

$$\frac { 6 } { 15 } \cdot \frac { 10 } { 12 } \cdot \frac { 8 } { 4 } \cdot \frac { 20 } { 3 }$$

Evaluate

$$\frac{40}{9}\approx 4.444444444$$

Solution Steps

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{2}{5}\times \frac{10}{12}\times \frac{8}{4}\times \frac{20}{3}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{5}{6}\times \frac{8}{4}\times \frac{20}{3}$$

Multiply \frac{2}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{5\times 6}\times \frac{8}{4}\times \frac{20}{3}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{6}\times \frac{8}{4}\times \frac{20}{3}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\times \frac{8}{4}\times \frac{20}{3}$$

Divide 8 by 4 to get 2.

$$\frac{1}{3}\times 2\times \frac{20}{3}$$

Multiply \frac{1}{3} and 2 to get \frac{2}{3}.

$$\frac{2}{3}\times \frac{20}{3}$$

Multiply \frac{2}{3} times \frac{20}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 20}{3\times 3}$$

Do the multiplications in the fraction \frac{2\times 20}{3\times 3}.

$$\frac{40}{9}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 ^ {2}} = 4\frac{4}{9} = 4.444444444444445$$