Solve 21/8-(-116/8)

$$2 \frac { 1 } { 8 } - ( - 11 \frac { 6 } { 8 } )$$

Evaluate

$$\frac{111}{8}=13.875$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+1}{8}-\left(-\frac{11\times 8+6}{8}\right)$$

Add 16 and 1 to get 17.

$$\frac{17}{8}-\left(-\frac{11\times 8+6}{8}\right)$$

Multiply 11 and 8 to get 88.

$$\frac{17}{8}-\left(-\frac{88+6}{8}\right)$$

Add 88 and 6 to get 94.

$$\frac{17}{8}-\left(-\frac{94}{8}\right)$$

Reduce the fraction \frac{94}{8} to lowest terms by extracting and canceling out 2.

$$\frac{17}{8}-\left(-\frac{47}{4}\right)$$

The opposite of -\frac{47}{4} is \frac{47}{4}.

$$\frac{17}{8}+\frac{47}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{17}{8} and \frac{47}{4} to fractions with denominator 8.

$$\frac{17}{8}+\frac{94}{8}$$

Since \frac{17}{8} and \frac{94}{8} have the same denominator, add them by adding their numerators.

$$\frac{17+94}{8}$$

Add 17 and 94 to get 111.

$$\frac{111}{8}$$

Factor

$$\frac{3 \cdot 37}{2 ^ {3}} = 13\frac{7}{8} = 13.875$$