Solve 11/9-35/6

$$1 \frac { 1 } { 9 } - 3 \frac { 5 } { 6 }$$

Evaluate

$$-\frac{49}{18}\approx -2.722222222$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+1}{9}-\frac{3\times 6+5}{6}$$

Add 9 and 1 to get 10.

$$\frac{10}{9}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{10}{9}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{10}{9}-\frac{23}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{10}{9} and \frac{23}{6} to fractions with denominator 18.

$$\frac{20}{18}-\frac{69}{18}$$

Since \frac{20}{18} and \frac{69}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-69}{18}$$

Subtract 69 from 20 to get -49.

$$-\frac{49}{18}$$

Factor

$$-\frac{49}{18} = -2\frac{13}{18} = -2.7222222222222223$$