Solve 15/6div26/7

$$1 \frac { 5 } { 6 } \div 2 \frac { 6 } { 7 }$$

Evaluate

$$\frac{77}{120}\approx 0.641666667$$

Solution Steps

Divide \frac{1\times 6+5}{6} by \frac{2\times 7+6}{7} by multiplying \frac{1\times 6+5}{6} by the reciprocal of \frac{2\times 7+6}{7}.

$$\frac{\left(1\times 6+5\right)\times 7}{6\left(2\times 7+6\right)}$$

Multiply 1 and 6 to get 6.

$$\frac{\left(6+5\right)\times 7}{6\left(2\times 7+6\right)}$$

Add 6 and 5 to get 11.

$$\frac{11\times 7}{6\left(2\times 7+6\right)}$$

Multiply 11 and 7 to get 77.

$$\frac{77}{6\left(2\times 7+6\right)}$$

Multiply 2 and 7 to get 14.

$$\frac{77}{6\left(14+6\right)}$$

Add 14 and 6 to get 20.

$$\frac{77}{6\times 20}$$

Multiply 6 and 20 to get 120.

$$\frac{77}{120}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {3} \cdot 3 \cdot 5} = 0.6416666666666667$$