Solve 14/9-35/6

$$1 \frac { 4 } { 9 } - 3 \frac { 5 } { 6 }$$

Evaluate

$$-\frac{43}{18}\approx -2.388888889$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+4}{9}-\frac{3\times 6+5}{6}$$

Add 9 and 4 to get 13.

$$\frac{13}{9}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{13}{9}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{13}{9}-\frac{23}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{13}{9} and \frac{23}{6} to fractions with denominator 18.

$$\frac{26}{18}-\frac{69}{18}$$

Since \frac{26}{18} and \frac{69}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-69}{18}$$

Subtract 69 from 26 to get -43.

$$-\frac{43}{18}$$

Factor

$$-\frac{43}{18} = -2\frac{7}{18} = -2.388888888888889$$