Solve -3/5+3.2-73/2

$$\frac{ -3 }{ 5 } +3.2-7 \frac{ 3 }{ 2 }$$

Evaluate

$$-5.9$$

Solution Steps

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$-\frac{3}{5}+3.2-\frac{7\times 2+3}{2}$$

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{5}+\frac{16}{5}-\frac{7\times 2+3}{2}$$

Since -\frac{3}{5} and \frac{16}{5} have the same denominator, add them by adding their numerators.

$$\frac{-3+16}{5}-\frac{7\times 2+3}{2}$$

Add -3 and 16 to get 13.

$$\frac{13}{5}-\frac{7\times 2+3}{2}$$

Multiply 7 and 2 to get 14.

$$\frac{13}{5}-\frac{14+3}{2}$$

Add 14 and 3 to get 17.

$$\frac{13}{5}-\frac{17}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{13}{5} and \frac{17}{2} to fractions with denominator 10.

$$\frac{26}{10}-\frac{85}{10}$$

Since \frac{26}{10} and \frac{85}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-85}{10}$$

Subtract 85 from 26 to get -59.

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

Factor

$$-5.9$$