Solve 3/2-1/5*(-7/2)

$$3 / 2 - \frac { 1 } { 5 } \cdot ( - \frac { 7 } { 2 } )$$

Evaluate

$$\frac{11}{5}=2.2$$

Solution Steps

Multiply \frac{1}{5} times -\frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{2}-\frac{1\left(-7\right)}{5\times 2}$$

Do the multiplications in the fraction \frac{1\left(-7\right)}{5\times 2}.

$$\frac{3}{2}-\frac{-7}{10}$$

Fraction \frac{-7}{10} can be rewritten as -\frac{7}{10} by extracting the negative sign.

$$\frac{3}{2}-\left(-\frac{7}{10}\right)$$

The opposite of -\frac{7}{10} is \frac{7}{10}.

$$\frac{3}{2}+\frac{7}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{3}{2} and \frac{7}{10} to fractions with denominator 10.

$$\frac{15}{10}+\frac{7}{10}$$

Since \frac{15}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+7}{10}$$

Add 15 and 7 to get 22.

$$\frac{22}{10}$$

Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}$$

Factor

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$