Solve 42/3-31/9

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

Evaluate

$$\frac{14}{9}\approx 1.555555556$$

Solution Steps

Multiply 4 and 3 to get 12.

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

Add 12 and 2 to get 14.

$$\frac{14}{3}-\frac{3\times 9+1}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{14}{3}-\frac{27+1}{9}$$

Add 27 and 1 to get 28.

$$\frac{14}{3}-\frac{28}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{14}{3} and \frac{28}{9} to fractions with denominator 9.

$$\frac{42}{9}-\frac{28}{9}$$

Since \frac{42}{9} and \frac{28}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-28}{9}$$

Subtract 28 from 42 to get 14.

$$\frac{14}{9}$$

Factor

$$\frac{2 \cdot 7}{3 ^ {2}} = 1\frac{5}{9} = 1.5555555555555556$$