Solve 41/3-24/9=

$$4 \frac { 1 } { 3 } - 2 \frac { 4 } { 9 } =$$

Evaluate

$$\frac{17}{9}\approx 1.888888889$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+1}{3}-\frac{2\times 9+4}{9}$$

Add 12 and 1 to get 13.

$$\frac{13}{3}-\frac{2\times 9+4}{9}$$

Multiply 2 and 9 to get 18.

$$\frac{13}{3}-\frac{18+4}{9}$$

Add 18 and 4 to get 22.

$$\frac{13}{3}-\frac{22}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{13}{3} and \frac{22}{9} to fractions with denominator 9.

$$\frac{39}{9}-\frac{22}{9}$$

Since \frac{39}{9} and \frac{22}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-22}{9}$$

Subtract 22 from 39 to get 17.

$$\frac{17}{9}$$

Factor

$$\frac{17}{3 ^ {2}} = 1\frac{8}{9} = 1.8888888888888888$$