Solve 6/7*2/5*2/3

$$\frac { 6 } { 7 } \times \frac { 2 } { 5 } \times \frac { 2 } { 3 }$$

Evaluate

$$\frac{8}{35}\approx 0.228571429$$

Solution Steps

Multiply \frac{6}{7} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 2}{7\times 5}\times \frac{2}{3}$$

Do the multiplications in the fraction \frac{6\times 2}{7\times 5}.

$$\frac{12}{35}\times \frac{2}{3}$$

Multiply \frac{12}{35} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 2}{35\times 3}$$

Do the multiplications in the fraction \frac{12\times 2}{35\times 3}.

$$\frac{24}{105}$$

Reduce the fraction \frac{24}{105} to lowest terms by extracting and canceling out 3.

$$\frac{8}{35}$$

Factor

$$\frac{2 ^ {3}}{5 \cdot 7} = 0.22857142857142856$$