Solve 52/3-74/3+85/3

$$5 \frac { 2 } { 3 } - 7 \frac { 4 } { 3 } + 8 \frac { 5 } { 3 }$$

Evaluate

$$7$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}-\frac{7\times 3+4}{3}+\frac{8\times 3+5}{3}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}-\frac{7\times 3+4}{3}+\frac{8\times 3+5}{3}$$

Multiply 7 and 3 to get 21.

$$\frac{17}{3}-\frac{21+4}{3}+\frac{8\times 3+5}{3}$$

Add 21 and 4 to get 25.

$$\frac{17}{3}-\frac{25}{3}+\frac{8\times 3+5}{3}$$

Since \frac{17}{3} and \frac{25}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-25}{3}+\frac{8\times 3+5}{3}$$

Subtract 25 from 17 to get -8.

$$-\frac{8}{3}+\frac{8\times 3+5}{3}$$

Multiply 8 and 3 to get 24.

$$-\frac{8}{3}+\frac{24+5}{3}$$

Add 24 and 5 to get 29.

$$-\frac{8}{3}+\frac{29}{3}$$

Since -\frac{8}{3} and \frac{29}{3} have the same denominator, add them by adding their numerators.

$$\frac{-8+29}{3}$$

Add -8 and 29 to get 21.

$$\frac{21}{3}$$

Divide 21 by 3 to get 7.

$$7$$

Factor

$$7$$