Solve 11/2*0.16div14/5

$$1 \frac { 1 } { 2 } \times 0.16 \div 1 \frac { 4 } { 5 }$$

Evaluate

$$\frac{2}{15}\approx 0.133333333$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{\frac{2+1}{2}\times 0.16}{\frac{1\times 5+4}{5}}$$

Add 2 and 1 to get 3.

$$\frac{\frac{3}{2}\times 0.16}{\frac{1\times 5+4}{5}}$$

Convert decimal number 0.16 to fraction \frac{16}{100}. Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{3}{2}\times \frac{4}{25}}{\frac{1\times 5+4}{5}}$$

Multiply \frac{3}{2} times \frac{4}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 4}{2\times 25}}{\frac{1\times 5+4}{5}}$$

Do the multiplications in the fraction \frac{3\times 4}{2\times 25}.

$$\frac{\frac{12}{50}}{\frac{1\times 5+4}{5}}$$

Reduce the fraction \frac{12}{50} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{6}{25}}{\frac{1\times 5+4}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{\frac{6}{25}}{\frac{5+4}{5}}$$

Add 5 and 4 to get 9.

$$\frac{\frac{6}{25}}{\frac{9}{5}}$$

Divide \frac{6}{25} by \frac{9}{5} by multiplying \frac{6}{25} by the reciprocal of \frac{9}{5}.

$$\frac{6}{25}\times \frac{5}{9}$$

Multiply \frac{6}{25} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 5}{25\times 9}$$

Do the multiplications in the fraction \frac{6\times 5}{25\times 9}.

$$\frac{30}{225}$$

Reduce the fraction \frac{30}{225} to lowest terms by extracting and canceling out 15.

$$\frac{2}{15}$$

Factor

$$\frac{2}{3 \cdot 5} = 0.13333333333333333$$