Solve 6+77/3-1/6

$$6 + 7 \frac { 7 } { 3 } - \frac { 1 } { 6 }$$

Evaluate

$$\frac{91}{6}\approx 15.166666667$$

Solution Steps

Multiply 7 and 3 to get 21.

$$6+\frac{21+7}{3}-\frac{1}{6}$$

Add 21 and 7 to get 28.

$$6+\frac{28}{3}-\frac{1}{6}$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{18}{3}+\frac{28}{3}-\frac{1}{6}$$

Since \frac{18}{3} and \frac{28}{3} have the same denominator, add them by adding their numerators.

$$\frac{18+28}{3}-\frac{1}{6}$$

Add 18 and 28 to get 46.

$$\frac{46}{3}-\frac{1}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{46}{3} and \frac{1}{6} to fractions with denominator 6.

$$\frac{92}{6}-\frac{1}{6}$$

Since \frac{92}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{92-1}{6}$$

Subtract 1 from 92 to get 91.

$$\frac{91}{6}$$

Factor

$$\frac{7 \cdot 13}{2 \cdot 3} = 15\frac{1}{6} = 15.166666666666666$$