Solve 4/2div3/8+1/3

$$\frac { 4 } { 2 } \div \frac { 3 } { 8 } + \frac { 1 } { 3 }$$

Evaluate

$$\frac{17}{3}\approx 5.666666667$$

Solution Steps

Divide \frac{4}{2} by \frac{3}{8} by multiplying \frac{4}{2} by the reciprocal of \frac{3}{8}.

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 8 to get 16.

$$\frac{16}{3}+\frac{1}{3}$$

Since \frac{16}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{16+1}{3}$$

Add 16 and 1 to get 17.

$$\frac{17}{3}$$

Factor

$$\frac{17}{3} = 5\frac{2}{3} = 5.666666666666667$$