Solve (33div2/11)*5/9

$$( 33 \div \frac { 2 } { 11 } ) \cdot \frac { 5 } { 9 }$$

Evaluate

$$\frac{605}{6}\approx 100.833333333$$

Solution Steps

Divide 33 by \frac{2}{11} by multiplying 33 by the reciprocal of \frac{2}{11}.

$$33\times \frac{11}{2}\times \frac{5}{9}$$

Express 33\times \frac{11}{2} as a single fraction.

$$\frac{33\times 11}{2}\times \frac{5}{9}$$

Multiply 33 and 11 to get 363.

$$\frac{363}{2}\times \frac{5}{9}$$

Multiply \frac{363}{2} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{363\times 5}{2\times 9}$$

Do the multiplications in the fraction \frac{363\times 5}{2\times 9}.

$$\frac{1815}{18}$$

Reduce the fraction \frac{1815}{18} to lowest terms by extracting and canceling out 3.

$$\frac{605}{6}$$

Factor

$$\frac{5 \cdot 11 ^ {2}}{2 \cdot 3} = 100\frac{5}{6} = 100.83333333333333$$