Solve 56/9-18/9=

$$5 \frac { 6 } { 9 } - 1 \frac { 8 } { 9 } =$$

Evaluate

$$\frac{34}{9}\approx 3.777777778$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{45+6}{9}-\frac{1\times 9+8}{9}$$

Add 45 and 6 to get 51.

$$\frac{51}{9}-\frac{1\times 9+8}{9}$$

Reduce the fraction \frac{51}{9} to lowest terms by extracting and canceling out 3.

$$\frac{17}{3}-\frac{1\times 9+8}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{17}{3}-\frac{9+8}{9}$$

Add 9 and 8 to get 17.

$$\frac{17}{3}-\frac{17}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{17}{3} and \frac{17}{9} to fractions with denominator 9.

$$\frac{51}{9}-\frac{17}{9}$$

Since \frac{51}{9} and \frac{17}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-17}{9}$$

Subtract 17 from 51 to get 34.

$$\frac{34}{9}$$

Factor

$$\frac{2 \cdot 17}{3 ^ {2}} = 3\frac{7}{9} = 3.7777777777777777$$