Solve 11/3-42/9=

$$1 \frac { 1 } { 3 } - 4 \frac { 2 } { 9 } =$$

Evaluate

$$-\frac{26}{9}\approx -2.888888889$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+1}{3}-\frac{4\times 9+2}{9}$$

Add 3 and 1 to get 4.

$$\frac{4}{3}-\frac{4\times 9+2}{9}$$

Multiply 4 and 9 to get 36.

$$\frac{4}{3}-\frac{36+2}{9}$$

Add 36 and 2 to get 38.

$$\frac{4}{3}-\frac{38}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{4}{3} and \frac{38}{9} to fractions with denominator 9.

$$\frac{12}{9}-\frac{38}{9}$$

Since \frac{12}{9} and \frac{38}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-38}{9}$$

Subtract 38 from 12 to get -26.

$$-\frac{26}{9}$$

Factor

$$-\frac{26}{9} = -2\frac{8}{9} = -2.888888888888889$$