Solve 84/6-31/9

$$8 \frac { 4 } { 6 } - 3 \frac { 1 } { 9 }$$

Evaluate

$$\frac{50}{9}\approx 5.555555556$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{48+4}{6}-\frac{3\times 9+1}{9}$$

Add 48 and 4 to get 52.

$$\frac{52}{6}-\frac{3\times 9+1}{9}$$

Reduce the fraction \frac{52}{6} to lowest terms by extracting and canceling out 2.

$$\frac{26}{3}-\frac{3\times 9+1}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{26}{3}-\frac{27+1}{9}$$

Add 27 and 1 to get 28.

$$\frac{26}{3}-\frac{28}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{26}{3} and \frac{28}{9} to fractions with denominator 9.

$$\frac{78}{9}-\frac{28}{9}$$

Since \frac{78}{9} and \frac{28}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{78-28}{9}$$

Subtract 28 from 78 to get 50.

$$\frac{50}{9}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3 ^ {2}} = 5\frac{5}{9} = 5.555555555555555$$