Solve 1/4-2-3/3-5=

$$\frac { 1 } { 4 } - 2 - \frac { 3 } { 3 } - 5 =$$

Evaluate

$$-\frac{31}{4}=-7.75$$

Solution Steps

Divide 3 by 3 to get 1.

$$\frac{1}{4}-2-1-5$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{1}{4}-\frac{8}{4}-1-5$$

Since \frac{1}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-8}{4}-1-5$$

Subtract 8 from 1 to get -7.

$$-\frac{7}{4}-1-5$$

Convert 1 to fraction \frac{4}{4}.

$$-\frac{7}{4}-\frac{4}{4}-5$$

Since -\frac{7}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-4}{4}-5$$

Subtract 4 from -7 to get -11.

$$-\frac{11}{4}-5$$

Convert 5 to fraction \frac{20}{4}.

$$-\frac{11}{4}-\frac{20}{4}$$

Since -\frac{11}{4} and \frac{20}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-20}{4}$$

Subtract 20 from -11 to get -31.

$$-\frac{31}{4}$$

Factor

$$-\frac{31}{4} = -7\frac{3}{4} = -7.75$$