Solve 42/3-15/6

$$4 \frac { 2 } { 3 } - 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{17}{6}\approx 2.833333333$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}-\frac{1\times 6+5}{6}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{14}{3}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{14}{3}-\frac{11}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{14}{3} and \frac{11}{6} to fractions with denominator 6.

$$\frac{28}{6}-\frac{11}{6}$$

Since \frac{28}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-11}{6}$$

Subtract 11 from 28 to get 17.

$$\frac{17}{6}$$

Factor

$$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$$