Solve 1121/9-11/3=

$$112 \frac { 1 } { 9 } - 1 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{997}{9}\approx 110.777777778$$

Solution Steps

Multiply 112 and 9 to get 1008.

$$\frac{1008+1}{9}-\frac{1\times 3+1}{3}$$

Add 1008 and 1 to get 1009.

$$\frac{1009}{9}-\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{1009}{9}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{1009}{9}-\frac{4}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{1009}{9} and \frac{4}{3} to fractions with denominator 9.

$$\frac{1009}{9}-\frac{12}{9}$$

Since \frac{1009}{9} and \frac{12}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1009-12}{9}$$

Subtract 12 from 1009 to get 997.

$$\frac{997}{9}$$

Factor

$$\frac{997}{3 ^ {2}} = 110\frac{7}{9} = 110.77777777777777$$