Solve 62/3-105/9

$$6 \frac { 2 } { 3 } - 10 \frac { 5 } { 9 }$$

Evaluate

$$-\frac{35}{9}\approx -3.888888889$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+2}{3}-\frac{10\times 9+5}{9}$$

Add 18 and 2 to get 20.

$$\frac{20}{3}-\frac{10\times 9+5}{9}$$

Multiply 10 and 9 to get 90.

$$\frac{20}{3}-\frac{90+5}{9}$$

Add 90 and 5 to get 95.

$$\frac{20}{3}-\frac{95}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{20}{3} and \frac{95}{9} to fractions with denominator 9.

$$\frac{60}{9}-\frac{95}{9}$$

Since \frac{60}{9} and \frac{95}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60-95}{9}$$

Subtract 95 from 60 to get -35.

$$-\frac{35}{9}$$

Factor

$$-\frac{35}{9} = -3\frac{8}{9} = -3.888888888888889$$