Solve 11/2*16div14/5

$$1 \frac { 1 } { 2 } \times 16 \div 1 \frac { 4 } { 5 }$$

Evaluate

$$\frac{40}{3}\approx 13.333333333$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{\frac{2+1}{2}\times 16}{\frac{1\times 5+4}{5}}$$

Add 2 and 1 to get 3.

$$\frac{\frac{3}{2}\times 16}{\frac{1\times 5+4}{5}}$$

Express \frac{3}{2}\times 16 as a single fraction.

$$\frac{\frac{3\times 16}{2}}{\frac{1\times 5+4}{5}}$$

Multiply 3 and 16 to get 48.

$$\frac{\frac{48}{2}}{\frac{1\times 5+4}{5}}$$

Divide 48 by 2 to get 24.

$$\frac{24}{\frac{1\times 5+4}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{24}{\frac{5+4}{5}}$$

Add 5 and 4 to get 9.

$$\frac{24}{\frac{9}{5}}$$

Divide 24 by \frac{9}{5} by multiplying 24 by the reciprocal of \frac{9}{5}.

$$24\times \frac{5}{9}$$

Express 24\times \frac{5}{9} as a single fraction.

$$\frac{24\times 5}{9}$$

Multiply 24 and 5 to get 120.

$$\frac{120}{9}$$

Reduce the fraction \frac{120}{9} to lowest terms by extracting and canceling out 3.

$$\frac{40}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3} = 13\frac{1}{3} = 13.333333333333334$$