Solve -1/3*4+1/2*4+4+8/3

$$- \frac{ 1 }{ 3 } \times 4+ \frac{ 1 }{ 2 } \times 4+4+ \frac{ 8 }{ 3 }$$

Evaluate

$$\frac{22}{3}\approx 7.333333333$$

Solution Steps

Express -\frac{1}{3}\times 4 as a single fraction.

$$\frac{-4}{3}+\frac{1}{2}\times 4+4+\frac{8}{3}$$

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$-\frac{4}{3}+\frac{1}{2}\times 4+4+\frac{8}{3}$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$-\frac{4}{3}+\frac{4}{2}+4+\frac{8}{3}$$

Divide 4 by 2 to get 2.

$$-\frac{4}{3}+2+4+\frac{8}{3}$$

Convert 2 to fraction \frac{6}{3}.

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

Since -\frac{4}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

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

Add -4 and 6 to get 2.

$$\frac{2}{3}+4+\frac{8}{3}$$

Convert 4 to fraction \frac{12}{3}.

$$\frac{2}{3}+\frac{12}{3}+\frac{8}{3}$$

Since \frac{2}{3} and \frac{12}{3} have the same denominator, add them by adding their numerators.

$$\frac{2+12}{3}+\frac{8}{3}$$

Add 2 and 12 to get 14.

$$\frac{14}{3}+\frac{8}{3}$$

Since \frac{14}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.

$$\frac{14+8}{3}$$

Add 14 and 8 to get 22.

$$\frac{22}{3}$$

Factor

$$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$$