Solve 1.6/frac{2{3}+5}

$$\frac{ 1.6 }{ \frac{ 2 }{ 3 } +5 }$$

Evaluate

$$\frac{24}{85}\approx 0.282352941$$

Solution Steps

Convert 5 to fraction \frac{15}{3}.

$$\frac{1.6}{\frac{2}{3}+\frac{15}{3}}$$

Since \frac{2}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.

$$\frac{1.6}{\frac{2+15}{3}}$$

Add 2 and 15 to get 17.

$$\frac{1.6}{\frac{17}{3}}$$

Divide 1.6 by \frac{17}{3} by multiplying 1.6 by the reciprocal of \frac{17}{3}.

$$1.6\times \frac{3}{17}$$

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.

$$\frac{8}{5}\times \frac{3}{17}$$

Multiply \frac{8}{5} times \frac{3}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 3}{5\times 17}$$

Do the multiplications in the fraction \frac{8\times 3}{5\times 17}.

$$\frac{24}{85}$$

Factor

$$\frac{3 \cdot 2 ^ {3}}{5 \cdot 17} = 0.2823529411764706$$