Solve (5729+5-1/81):53

$$( 5729 + 5 - \frac { 1 } { 81 } ) : 53$$

Evaluate

$$\frac{464453}{4293}\approx 108.188446308$$

Solution Steps

Add 5729 and 5 to get 5734.

$$\frac{5734-\frac{1}{81}}{53}$$

Convert 5734 to fraction \frac{464454}{81}.

$$\frac{\frac{464454}{81}-\frac{1}{81}}{53}$$

Since \frac{464454}{81} and \frac{1}{81} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{464454-1}{81}}{53}$$

Subtract 1 from 464454 to get 464453.

$$\frac{\frac{464453}{81}}{53}$$

Express \frac{\frac{464453}{81}}{53} as a single fraction.

$$\frac{464453}{81\times 53}$$

Multiply 81 and 53 to get 4293.

$$\frac{464453}{4293}$$

Factor

$$\frac{11 \cdot 42223}{3 ^ {4} \cdot 53} = 108\frac{809}{4293} = 108.18844630794317$$