Solve 2/3*11/8*5/6=

$$\frac { 2 } { 3 } \cdot 1 \frac { 1 } { 8 } \cdot \frac { 5 } { 6 } =$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{2}{3}\times \frac{8+1}{8}\times \frac{5}{6}$$

Add 8 and 1 to get 9.

$$\frac{2}{3}\times \frac{9}{8}\times \frac{5}{6}$$

Multiply \frac{2}{3} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 9}{3\times 8}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{2\times 9}{3\times 8}.

$$\frac{18}{24}\times \frac{5}{6}$$

Reduce the fraction \frac{18}{24} to lowest terms by extracting and canceling out 6.

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

Multiply \frac{3}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 5}{4\times 6}.

$$\frac{15}{24}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$