Solve 1600/4+frac{5{6}}

$$\frac{ 1600 }{ 4+ \frac{ 5 }{ 6 } }$$

Evaluate

$$\frac{9600}{29}\approx 331.034482759$$

Solution Steps

Convert 4 to fraction \frac{24}{6}.

$$\frac{1600}{\frac{24}{6}+\frac{5}{6}}$$

Since \frac{24}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{1600}{\frac{24+5}{6}}$$

Add 24 and 5 to get 29.

$$\frac{1600}{\frac{29}{6}}$$

Divide 1600 by \frac{29}{6} by multiplying 1600 by the reciprocal of \frac{29}{6}.

$$1600\times \frac{6}{29}$$

Express 1600\times \frac{6}{29} as a single fraction.

$$\frac{1600\times 6}{29}$$

Multiply 1600 and 6 to get 9600.

$$\frac{9600}{29}$$

Factor

$$\frac{2 ^ {7} \cdot 3 \cdot 5 ^ {2}}{29} = 331\frac{1}{29} = 331.0344827586207$$