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

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

Evaluate

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

Solution Steps

Multiply \frac{5}{6} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{5\times 2}{6\times 3}.

$$\frac{10}{18}\times \frac{3}{4}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{5}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{5\times 3}{9\times 4}.

$$\frac{15}{36}$$

Reduce the fraction \frac{15}{36} to lowest terms by extracting and canceling out 3.

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

Factor

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