Solve (-43/5)-59/10

$$( - 4 \frac { 3 } { 5 } ) - 5 \frac { 9 } { 10 }$$

Evaluate

$$-\frac{21}{2}=-10.5$$

Solution Steps

Multiply 4 and 5 to get 20.

$$-\frac{20+3}{5}-\frac{5\times 10+9}{10}$$

Add 20 and 3 to get 23.

$$-\frac{23}{5}-\frac{5\times 10+9}{10}$$

Multiply 5 and 10 to get 50.

$$-\frac{23}{5}-\frac{50+9}{10}$$

Add 50 and 9 to get 59.

$$-\frac{23}{5}-\frac{59}{10}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{23}{5} and \frac{59}{10} to fractions with denominator 10.

$$-\frac{46}{10}-\frac{59}{10}$$

Since -\frac{46}{10} and \frac{59}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-46-59}{10}$$

Subtract 59 from -46 to get -105.

$$\frac{-105}{10}$$

Reduce the fraction \frac{-105}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{21}{2}$$

Factor

$$-\frac{21}{2} = -10\frac{1}{2} = -10.5$$