Solve 51/9-22/9-1

$$5 \frac { 1 } { 9 } - 2 \frac { 2 } { 9 } - 1$$

Evaluate

$$\frac{17}{9}\approx 1.888888889$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{45+1}{9}-\frac{2\times 9+2}{9}-1$$

Add 45 and 1 to get 46.

$$\frac{46}{9}-\frac{2\times 9+2}{9}-1$$

Multiply 2 and 9 to get 18.

$$\frac{46}{9}-\frac{18+2}{9}-1$$

Add 18 and 2 to get 20.

$$\frac{46}{9}-\frac{20}{9}-1$$

Since \frac{46}{9} and \frac{20}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{46-20}{9}-1$$

Subtract 20 from 46 to get 26.

$$\frac{26}{9}-1$$

Convert 1 to fraction \frac{9}{9}.

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

Since \frac{26}{9} and \frac{9}{9} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 9 from 26 to get 17.

$$\frac{17}{9}$$

Factor

$$\frac{17}{3 ^ {2}} = 1\frac{8}{9} = 1.8888888888888888$$