Solve 61/4-23/4

$$6 \frac { 1 } { 4 } - 2 \frac { 3 } { 4 }$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+1}{4}-\frac{2\times 4+3}{4}$$

Add 24 and 1 to get 25.

$$\frac{25}{4}-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{25}{4}-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{25}{4}-\frac{11}{4}$$

Since \frac{25}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-11}{4}$$

Subtract 11 from 25 to get 14.

$$\frac{14}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$