Solve 7--4/frac{1{2}--3/2}

$$\frac{ 7--4 }{ \frac{ 1 }{ 2 } - \frac{ -3 }{ 2 } }$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

The opposite of -4 is 4.

$$\frac{7+4}{\frac{1}{2}-\frac{-3}{2}}$$

Add 7 and 4 to get 11.

$$\frac{11}{\frac{1}{2}-\frac{-3}{2}}$$

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$\frac{11}{\frac{1}{2}-\left(-\frac{3}{2}\right)}$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$\frac{11}{\frac{1}{2}+\frac{3}{2}}$$

Since \frac{1}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{11}{\frac{1+3}{2}}$$

Add 1 and 3 to get 4.

$$\frac{11}{\frac{4}{2}}$$

Divide 4 by 2 to get 2.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$