Solve 42/3-11/6

$$4 \frac { 2 } { 3 } - 1 \frac { 1 } { 6 }$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}-\frac{1\times 6+1}{6}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}-\frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{14}{3}-\frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{14}{3}-\frac{7}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{14}{3} and \frac{7}{6} to fractions with denominator 6.

$$\frac{28}{6}-\frac{7}{6}$$

Since \frac{28}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-7}{6}$$

Subtract 7 from 28 to get 21.

$$\frac{21}{6}$$

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$