Solve 64/28frac{1{3}+4/3}

$$\frac{ 64 }{ 28 \frac{ 1 }{ 3 } + \frac{ 4 }{ 3 } }$$

Evaluate

$$\frac{192}{89}\approx 2.157303371$$

Solution Steps

Multiply 28 and 3 to get 84.

$$\frac{64}{\frac{84+1}{3}+\frac{4}{3}}$$

Add 84 and 1 to get 85.

$$\frac{64}{\frac{85}{3}+\frac{4}{3}}$$

Since \frac{85}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$\frac{64}{\frac{85+4}{3}}$$

Add 85 and 4 to get 89.

$$\frac{64}{\frac{89}{3}}$$

Divide 64 by \frac{89}{3} by multiplying 64 by the reciprocal of \frac{89}{3}.

$$64\times \frac{3}{89}$$

Express 64\times \frac{3}{89} as a single fraction.

$$\frac{64\times 3}{89}$$

Multiply 64 and 3 to get 192.

$$\frac{192}{89}$$

Factor

$$\frac{2 ^ {6} \cdot 3}{89} = 2\frac{14}{89} = 2.157303370786517$$