Solve 22/8*6/11*1/2

$$\frac { 22 } { 8 } \times \frac { 6 } { 11 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Reduce the fraction \frac{22}{8} to lowest terms by extracting and canceling out 2.

$$\frac{11}{4}\times \frac{6}{11}\times \frac{1}{2}$$

Multiply \frac{11}{4} times \frac{6}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 6}{4\times 11}\times \frac{1}{2}$$

Cancel out 11 in both numerator and denominator.

$$\frac{6}{4}\times \frac{1}{2}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{3}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 1}{2\times 2}.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$