Solve (1/0,24)/(frac{118,5{146,5})}

$$\frac { ( \frac { 1 } { 0,24 } ) } { ( \frac { 118,5 } { 146,5 } ) }$$

Evaluate

$$\frac{7325}{1422}\approx 5,151195499$$

Solution Steps

Divide \frac{1}{0,24} by \frac{118,5}{146,5} by multiplying \frac{1}{0,24} by the reciprocal of \frac{118,5}{146,5}.

$$\frac{146,5}{0,24\times 118,5}$$

Multiply 0,24 and 118,5 to get 28,44.

$$\frac{146,5}{28,44}$$

Expand \frac{146,5}{28,44} by multiplying both numerator and the denominator by 100.

$$\frac{14650}{2844}$$

Reduce the fraction \frac{14650}{2844} to lowest terms by extracting and canceling out 2.

$$\frac{7325}{1422}$$

Factor

$$\frac{293 \cdot 5 ^ {2}}{2 \cdot 79 \cdot 3 ^ {2}} = 5\frac{215}{1422} = 5.151195499296765$$