Solve 2/3*3/4*5/6=

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

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Multiply \frac{2}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

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

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

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

Multiply \frac{1}{2} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 5}{2\times 6}.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$