Solve 11/2div5/9div12/5

$$\frac{ 11 }{ 2 } \div \frac { 5 } { 9 } \div \frac{ 12 }{ 5 }$$

Evaluate

$$\frac{33}{8}=4.125$$

Solution Steps

Divide \frac{\frac{11}{2}}{\frac{5}{9}} by \frac{12}{5} by multiplying \frac{\frac{11}{2}}{\frac{5}{9}} by the reciprocal of \frac{12}{5}.

$$\frac{\frac{11}{2}\times 5}{\frac{5}{9}\times 12}$$

Express \frac{11}{2}\times 5 as a single fraction.

$$\frac{\frac{11\times 5}{2}}{\frac{5}{9}\times 12}$$

Multiply 11 and 5 to get 55.

$$\frac{\frac{55}{2}}{\frac{5}{9}\times 12}$$

Express \frac{5}{9}\times 12 as a single fraction.

$$\frac{\frac{55}{2}}{\frac{5\times 12}{9}}$$

Multiply 5 and 12 to get 60.

$$\frac{\frac{55}{2}}{\frac{60}{9}}$$

Reduce the fraction \frac{60}{9} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{55}{2}}{\frac{20}{3}}$$

Divide \frac{55}{2} by \frac{20}{3} by multiplying \frac{55}{2} by the reciprocal of \frac{20}{3}.

$$\frac{55}{2}\times \frac{3}{20}$$

Multiply \frac{55}{2} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55\times 3}{2\times 20}$$

Do the multiplications in the fraction \frac{55\times 3}{2\times 20}.

$$\frac{165}{40}$$

Reduce the fraction \frac{165}{40} to lowest terms by extracting and canceling out 5.

$$\frac{33}{8}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {3}} = 4\frac{1}{8} = 4.125$$