Solve 4/3+4/9-1/3

$$\frac { 4 } { 3 } + \frac { 4 } { 9 } - \frac { 1 } { 3 }$$

Evaluate

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

Solution Steps

Least common multiple of 3 and 9 is 9. Convert \frac{4}{3} and \frac{4}{9} to fractions with denominator 9.

$$\frac{12}{9}+\frac{4}{9}-\frac{1}{3}$$

Since \frac{12}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$\frac{12+4}{9}-\frac{1}{3}$$

Add 12 and 4 to get 16.

$$\frac{16}{9}-\frac{1}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{16}{9} and \frac{1}{3} to fractions with denominator 9.

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

Since \frac{16}{9} and \frac{3}{9} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 16 to get 13.

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

Factor

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