Solve 66/12*36/8:22/4

$$\frac { 66 } { 12 } \times \frac { 36 } { 8 } : \frac { 22 } { 4 }$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Reduce the fraction \frac{66}{12} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{11}{2}\times \frac{36}{8}}{\frac{22}{4}}$$

Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{11}{2}\times \frac{9}{2}}{\frac{22}{4}}$$

Multiply \frac{11}{2} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{11\times 9}{2\times 2}}{\frac{22}{4}}$$

Do the multiplications in the fraction \frac{11\times 9}{2\times 2}.

$$\frac{\frac{99}{4}}{\frac{22}{4}}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{99}{4}}{\frac{11}{2}}$$

Divide \frac{99}{4} by \frac{11}{2} by multiplying \frac{99}{4} by the reciprocal of \frac{11}{2}.

$$\frac{99}{4}\times \frac{2}{11}$$

Multiply \frac{99}{4} times \frac{2}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{99\times 2}{4\times 11}$$

Do the multiplications in the fraction \frac{99\times 2}{4\times 11}.

$$\frac{198}{44}$$

Reduce the fraction \frac{198}{44} to lowest terms by extracting and canceling out 22.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$