Solve 27/5+(-71/2)

$$2 \frac { 7 } { 5 } + ( - 7 \frac { 1 } { 2 } )$$

Evaluate

$$-\frac{41}{10}=-4.1$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+7}{5}-\frac{7\times 2+1}{2}$$

Add 10 and 7 to get 17.

$$\frac{17}{5}-\frac{7\times 2+1}{2}$$

Multiply 7 and 2 to get 14.

$$\frac{17}{5}-\frac{14+1}{2}$$

Add 14 and 1 to get 15.

$$\frac{17}{5}-\frac{15}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{17}{5} and \frac{15}{2} to fractions with denominator 10.

$$\frac{34}{10}-\frac{75}{10}$$

Since \frac{34}{10} and \frac{75}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-75}{10}$$

Subtract 75 from 34 to get -41.

$$-\frac{41}{10}$$

Factor

$$-\frac{41}{10} = -4\frac{1}{10} = -4.1$$