Solve 11/2*1.6div14/5

$$1 \frac { 1 } { 2 } \times 1.6 \div 1 \frac { 4 } { 5 }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{\frac{2+1}{2}\times 1.6}{\frac{1\times 5+4}{5}}$$

Add 2 and 1 to get 3.

$$\frac{\frac{3}{2}\times 1.6}{\frac{1\times 5+4}{5}}$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{2}\times \frac{8}{5}}{\frac{1\times 5+4}{5}}$$

Multiply \frac{3}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 8}{2\times 5}}{\frac{1\times 5+4}{5}}$$

Do the multiplications in the fraction \frac{3\times 8}{2\times 5}.

$$\frac{\frac{24}{10}}{\frac{1\times 5+4}{5}}$$

Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

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

Multiply 1 and 5 to get 5.

$$\frac{\frac{12}{5}}{\frac{5+4}{5}}$$

Add 5 and 4 to get 9.

$$\frac{\frac{12}{5}}{\frac{9}{5}}$$

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

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

Multiply \frac{12}{5} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 5 in both numerator and denominator.

$$\frac{12}{9}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$