Solve 165/580div134/745-1

$$\frac { 165 } { 580 } \div \frac { 134 } { 745 } - 1$$

Evaluate

$$\frac{9041}{15544}\approx 0.581639218$$

Solution Steps

Divide \frac{165}{580} by \frac{134}{745} by multiplying \frac{165}{580} by the reciprocal of \frac{134}{745}.

$$\frac{165\times 745}{580\times 134}-1$$

Cancel out 5 in both numerator and denominator.

$$\frac{33\times 745}{116\times 134}-1$$

Multiply 33 and 745 to get 24585.

$$\frac{24585}{116\times 134}-1$$

Multiply 116 and 134 to get 15544.

$$\frac{24585}{15544}-1$$

Convert 1 to fraction \frac{15544}{15544}.

$$\frac{24585}{15544}-\frac{15544}{15544}$$

Since \frac{24585}{15544} and \frac{15544}{15544} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24585-15544}{15544}$$

Subtract 15544 from 24585 to get 9041.

$$\frac{9041}{15544}$$

Factor

$$\frac{9041}{2 ^ {3} \cdot 29 \cdot 67} = 0.5816392177045805$$