Solve 22/3-7/18*3

$$2 \frac { 2 } { 3 } - \frac { 7 } { 18 } \times 3$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}-\frac{7}{18}\times 3$$

Add 6 and 2 to get 8.

$$\frac{8}{3}-\frac{7}{18}\times 3$$

Express \frac{7}{18}\times 3 as a single fraction.

$$\frac{8}{3}-\frac{7\times 3}{18}$$

Multiply 7 and 3 to get 21.

$$\frac{8}{3}-\frac{21}{18}$$

Reduce the fraction \frac{21}{18} to lowest terms by extracting and canceling out 3.

$$\frac{8}{3}-\frac{7}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{8}{3} and \frac{7}{6} to fractions with denominator 6.

$$\frac{16}{6}-\frac{7}{6}$$

Since \frac{16}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-7}{6}$$

Subtract 7 from 16 to get 9.

$$\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$