Solve {r}{460}{-229/231}{271}

$$\left. \begin{array} { r } { 460 } \\ { - \frac { 229 } { 231 } } \\ { 271 } \end{array} \right.$$

Evaluate

$$\frac{43430}{231}\approx 188.008658009$$

Solution Steps

Convert 460 to fraction \frac{106260}{231}.

$$\frac{106260}{231}-\frac{229}{231}-271$$

Since \frac{106260}{231} and \frac{229}{231} have the same denominator, subtract them by subtracting their numerators.

$$\frac{106260-229}{231}-271$$

Subtract 229 from 106260 to get 106031.

$$\frac{106031}{231}-271$$

Convert 271 to fraction \frac{62601}{231}.

$$\frac{106031}{231}-\frac{62601}{231}$$

Since \frac{106031}{231} and \frac{62601}{231} have the same denominator, subtract them by subtracting their numerators.

$$\frac{106031-62601}{231}$$

Subtract 62601 from 106031 to get 43430.

$$\frac{43430}{231}$$

Factor

$$\frac{2 \cdot 5 \cdot 43 \cdot 101}{3 \cdot 7 \cdot 11} = 188\frac{2}{231} = 188.00865800865802$$