Solve 6/8-36/4

$$\frac { 6 } { 8 } - 3 \frac { 6 } { 4 }$$

Evaluate

$$-\frac{15}{4}=-3.75$$

Solution Steps

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}-\frac{3\times 4+6}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{3}{4}-\frac{12+6}{4}$$

Add 12 and 6 to get 18.

$$\frac{3}{4}-\frac{18}{4}$$

Since \frac{3}{4} and \frac{18}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-18}{4}$$

Subtract 18 from 3 to get -15.

$$-\frac{15}{4}$$

Factor

$$-\frac{15}{4} = -3\frac{3}{4} = -3.75$$