Solve 21/7+36/7+51/6=?

$$2 \frac { 1 } { 7 } + 3 \frac { 6 } { 7 } + 5 \frac { 1 } { 6 } = ?$$

Evaluate

$$\frac{67}{6}\approx 11.166666667$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+1}{7}+\frac{3\times 7+6}{7}+\frac{5\times 6+1}{6}$$

Add 14 and 1 to get 15.

$$\frac{15}{7}+\frac{3\times 7+6}{7}+\frac{5\times 6+1}{6}$$

Multiply 3 and 7 to get 21.

$$\frac{15}{7}+\frac{21+6}{7}+\frac{5\times 6+1}{6}$$

Add 21 and 6 to get 27.

$$\frac{15}{7}+\frac{27}{7}+\frac{5\times 6+1}{6}$$

Since \frac{15}{7} and \frac{27}{7} have the same denominator, add them by adding their numerators.

$$\frac{15+27}{7}+\frac{5\times 6+1}{6}$$

Add 15 and 27 to get 42.

$$\frac{42}{7}+\frac{5\times 6+1}{6}$$

Divide 42 by 7 to get 6.

$$6+\frac{5\times 6+1}{6}$$

Multiply 5 and 6 to get 30.

$$6+\frac{30+1}{6}$$

Add 30 and 1 to get 31.

$$6+\frac{31}{6}$$

Convert 6 to fraction \frac{36}{6}.

$$\frac{36}{6}+\frac{31}{6}$$

Since \frac{36}{6} and \frac{31}{6} have the same denominator, add them by adding their numerators.

$$\frac{36+31}{6}$$

Add 36 and 31 to get 67.

$$\frac{67}{6}$$

Factor

$$\frac{67}{2 \cdot 3} = 11\frac{1}{6} = 11.166666666666666$$