Solve 42/9-13/9

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

Evaluate

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

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{36+2}{9}-\frac{1\times 9+3}{9}$$

Add 36 and 2 to get 38.

$$\frac{38}{9}-\frac{1\times 9+3}{9}$$

Multiply 1 and 9 to get 9.

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

Add 9 and 3 to get 12.

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

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

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

Subtract 12 from 38 to get 26.

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

Factor

$$\frac{2 \cdot 13}{3 ^ {2}} = 2\frac{8}{9} = 2.888888888888889$$