Solve 42/3-7/9

$$4 \frac{ 2 }{ 3 } - \frac{ 7 }{ 9 }$$

Evaluate

$$\frac{35}{9}\approx 3.888888889$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}-\frac{7}{9}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}-\frac{7}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{14}{3} and \frac{7}{9} to fractions with denominator 9.

$$\frac{42}{9}-\frac{7}{9}$$

Since \frac{42}{9} and \frac{7}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-7}{9}$$

Subtract 7 from 42 to get 35.

$$\frac{35}{9}$$

Factor

$$\frac{5 \cdot 7}{3 ^ {2}} = 3\frac{8}{9} = 3.888888888888889$$