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

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

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Multiply \frac{1}{3} and 8 to get \frac{8}{3}.

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

Cancel out 4 and 4.

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

Convert 1 to fraction \frac{3}{3}.

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

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

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

Add 8 and 3 to get 11.

$$\frac{11}{3}-\frac{1}{2}\times 2-1$$

Cancel out 2 and 2.

$$\frac{11}{3}-1-1$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{11}{3}-\frac{3}{3}-1$$

Since \frac{11}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-3}{3}-1$$

Subtract 3 from 11 to get 8.

$$\frac{8}{3}-1$$

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{8}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 8 to get 5.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$