Solve 886/10-32/9

$$\frac { \frac { 886 } { 10 } - 32 } { 9 }$$

Evaluate

$$\frac{283}{45}\approx 6.288888889$$

Solution Steps

Reduce the fraction \frac{886}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{443}{5}-32}{9}$$

Convert 32 to fraction \frac{160}{5}.

$$\frac{\frac{443}{5}-\frac{160}{5}}{9}$$

Since \frac{443}{5} and \frac{160}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{443-160}{5}}{9}$$

Subtract 160 from 443 to get 283.

$$\frac{\frac{283}{5}}{9}$$

Express \frac{\frac{283}{5}}{9} as a single fraction.

$$\frac{283}{5\times 9}$$

Multiply 5 and 9 to get 45.

$$\frac{283}{45}$$

Factor

$$\frac{283}{3 ^ {2} \cdot 5} = 6\frac{13}{45} = 6.288888888888889$$