Solve 32/8-(-31/7)

$$3 \frac { 2 } { 8 } - ( - 3 \frac { 1 } { 7 } )$$

Evaluate

$$\frac{179}{28}\approx 6.392857143$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+2}{8}-\left(-\frac{3\times 7+1}{7}\right)$$

Add 24 and 2 to get 26.

$$\frac{26}{8}-\left(-\frac{3\times 7+1}{7}\right)$$

Reduce the fraction \frac{26}{8} to lowest terms by extracting and canceling out 2.

$$\frac{13}{4}-\left(-\frac{3\times 7+1}{7}\right)$$

Multiply 3 and 7 to get 21.

$$\frac{13}{4}-\left(-\frac{21+1}{7}\right)$$

Add 21 and 1 to get 22.

$$\frac{13}{4}-\left(-\frac{22}{7}\right)$$

The opposite of -\frac{22}{7} is \frac{22}{7}.

$$\frac{13}{4}+\frac{22}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{13}{4} and \frac{22}{7} to fractions with denominator 28.

$$\frac{91}{28}+\frac{88}{28}$$

Since \frac{91}{28} and \frac{88}{28} have the same denominator, add them by adding their numerators.

$$\frac{91+88}{28}$$

Add 91 and 88 to get 179.

$$\frac{179}{28}$$

Factor

$$\frac{179}{2 ^ {2} \cdot 7} = 6\frac{11}{28} = 6.392857142857143$$