Solve 6/5-43/4+464div2

$$\frac{ 6 }{ 5 } - \frac{ 43 }{ 4 } +464 \div 2$$

Evaluate

$$\frac{4449}{20}=222.45$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{6}{5} and \frac{43}{4} to fractions with denominator 20.

$$\frac{24}{20}-\frac{215}{20}+\frac{464}{2}$$

Since \frac{24}{20} and \frac{215}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-215}{20}+\frac{464}{2}$$

Subtract 215 from 24 to get -191.

$$-\frac{191}{20}+\frac{464}{2}$$

Divide 464 by 2 to get 232.

$$-\frac{191}{20}+232$$

Convert 232 to fraction \frac{4640}{20}.

$$-\frac{191}{20}+\frac{4640}{20}$$

Since -\frac{191}{20} and \frac{4640}{20} have the same denominator, add them by adding their numerators.

$$\frac{-191+4640}{20}$$

Add -191 and 4640 to get 4449.

$$\frac{4449}{20}$$

Factor

$$\frac{3 \cdot 1483}{2 ^ {2} \cdot 5} = 222\frac{9}{20} = 222.45$$