Solve 182/3-102/9=

$$18 \frac { 2 } { 3 } - 10 \frac { 2 } { 9 } =$$

Evaluate

$$\frac{76}{9}\approx 8.444444444$$

Solution Steps

Multiply 18 and 3 to get 54.

$$\frac{54+2}{3}-\frac{10\times 9+2}{9}$$

Add 54 and 2 to get 56.

$$\frac{56}{3}-\frac{10\times 9+2}{9}$$

Multiply 10 and 9 to get 90.

$$\frac{56}{3}-\frac{90+2}{9}$$

Add 90 and 2 to get 92.

$$\frac{56}{3}-\frac{92}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{56}{3} and \frac{92}{9} to fractions with denominator 9.

$$\frac{168}{9}-\frac{92}{9}$$

Since \frac{168}{9} and \frac{92}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{168-92}{9}$$

Subtract 92 from 168 to get 76.

$$\frac{76}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 19}{3 ^ {2}} = 8\frac{4}{9} = 8.444444444444445$$