Solve 32/11/frac{49{66}}

$$\frac { 3 \frac { 2 } { 11 } } { \frac { 49 } { 66 } }$$

Evaluate

$$\frac{30}{7}\approx 4.285714286$$

Solution Steps

Divide \frac{3\times 11+2}{11} by \frac{49}{66} by multiplying \frac{3\times 11+2}{11} by the reciprocal of \frac{49}{66}.

$$\frac{\left(3\times 11+2\right)\times 66}{11\times 49}$$

Cancel out 11 in both numerator and denominator.

$$\frac{6\left(2+3\times 11\right)}{49}$$

Multiply 3 and 11 to get 33.

$$\frac{6\left(2+33\right)}{49}$$

Add 2 and 33 to get 35.

$$\frac{6\times 35}{49}$$

Multiply 6 and 35 to get 210.

$$\frac{210}{49}$$

Reduce the fraction \frac{210}{49} to lowest terms by extracting and canceling out 7.

$$\frac{30}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{7} = 4\frac{2}{7} = 4.285714285714286$$