Solve 62/9-32/6=

$$6 \frac { 2 } { 9 } - 3 \frac { 2 } { 6 } =$$

Evaluate

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

Solution Steps

Multiply 6 and 9 to get 54.

$$\frac{54+2}{9}-\frac{3\times 6+2}{6}$$

Add 54 and 2 to get 56.

$$\frac{56}{9}-\frac{3\times 6+2}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{56}{9}-\frac{18+2}{6}$$

Add 18 and 2 to get 20.

$$\frac{56}{9}-\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{56}{9}-\frac{10}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{56}{9} and \frac{10}{3} to fractions with denominator 9.

$$\frac{56}{9}-\frac{30}{9}$$

Since \frac{56}{9} and \frac{30}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-30}{9}$$

Subtract 30 from 56 to get 26.

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

Factor

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