Solve 67/9-51/3=

$$6 \frac { 7 } { 9 } - 5 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{13}{9}\approx 1.444444444$$

Solution Steps

Multiply 6 and 9 to get 54.

$$\frac{54+7}{9}-\frac{5\times 3+1}{3}$$

Add 54 and 7 to get 61.

$$\frac{61}{9}-\frac{5\times 3+1}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{61}{9}-\frac{15+1}{3}$$

Add 15 and 1 to get 16.

$$\frac{61}{9}-\frac{16}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{61}{9} and \frac{16}{3} to fractions with denominator 9.

$$\frac{61}{9}-\frac{48}{9}$$

Since \frac{61}{9} and \frac{48}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{61-48}{9}$$

Subtract 48 from 61 to get 13.

$$\frac{13}{9}$$

Factor

$$\frac{13}{3 ^ {2}} = 1\frac{4}{9} = 1.4444444444444444$$