Solve 5/1*2/3+21/3

$$\frac { 5 } { 1 } \times \frac { 2 } { 3 } + 2 \frac { 1 } { 3 }$$

Evaluate

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

Solution Steps

Anything divided by one gives itself.

$$5\times \frac{2}{3}+\frac{2\times 3+1}{3}$$

Express 5\times \frac{2}{3} as a single fraction.

$$\frac{5\times 2}{3}+\frac{2\times 3+1}{3}$$

Multiply 5 and 2 to get 10.

$$\frac{10}{3}+\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{10}{3}+\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{10}{3}+\frac{7}{3}$$

Since \frac{10}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{10+7}{3}$$

Add 10 and 7 to get 17.

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

Factor

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