Solve (33/21)(2/3)(1/2)

$$( \frac { 33 } { 21 } ) ( \frac { 2 } { 3 } ) ( \frac { 1 } { 2 } )$$

Evaluate

$$\frac{11}{21}\approx 0.523809524$$

Solution Steps

Reduce the fraction \frac{33}{21} to lowest terms by extracting and canceling out 3.

$$\frac{11}{7}\times \frac{2}{3}\times \frac{1}{2}$$

Multiply \frac{11}{7} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 2}{7\times 3}\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{11\times 2}{7\times 3}.

$$\frac{22}{21}\times \frac{1}{2}$$

Multiply \frac{22}{21} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 1}{21\times 2}$$

Do the multiplications in the fraction \frac{22\times 1}{21\times 2}.

$$\frac{22}{42}$$

Reduce the fraction \frac{22}{42} to lowest terms by extracting and canceling out 2.

$$\frac{11}{21}$$

Factor

$$\frac{11}{3 \cdot 7} = 0.5238095238095238$$