Solve 23/4-(-31/4)

$$2 \frac { 3 } { 4 } - ( - 3 \frac { 1 } { 4 } )$$

Evaluate

$$6$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}-\left(-\frac{3\times 4+1}{4}\right)$$

Add 8 and 3 to get 11.

$$\frac{11}{4}-\left(-\frac{3\times 4+1}{4}\right)$$

Multiply 3 and 4 to get 12.

$$\frac{11}{4}-\left(-\frac{12+1}{4}\right)$$

Add 12 and 1 to get 13.

$$\frac{11}{4}-\left(-\frac{13}{4}\right)$$

The opposite of -\frac{13}{4} is \frac{13}{4}.

$$\frac{11}{4}+\frac{13}{4}$$

Since \frac{11}{4} and \frac{13}{4} have the same denominator, add them by adding their numerators.

$$\frac{11+13}{4}$$

Add 11 and 13 to get 24.

$$\frac{24}{4}$$

Divide 24 by 4 to get 6.

$$6$$

Factor

$$2\times 3$$