Solve 3/8--281/2=

$$\frac { 3 } { 8 } - - 28 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{231}{8}=28.875$$

Solution Steps

Multiply 28 and 2 to get 56.

$$\frac{3}{8}-\left(-\frac{56+1}{2}\right)$$

Add 56 and 1 to get 57.

$$\frac{3}{8}-\left(-\frac{57}{2}\right)$$

The opposite of -\frac{57}{2} is \frac{57}{2}.

$$\frac{3}{8}+\frac{57}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{3}{8} and \frac{57}{2} to fractions with denominator 8.

$$\frac{3}{8}+\frac{228}{8}$$

Since \frac{3}{8} and \frac{228}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+228}{8}$$

Add 3 and 228 to get 231.

$$\frac{231}{8}$$

Factor

$$\frac{3 \cdot 7 \cdot 11}{2 ^ {3}} = 28\frac{7}{8} = 28.875$$