Solve 16/7/5frac{1{2}}

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

Evaluate

$$\frac{26}{77}\approx 0.337662338$$

Solution Steps

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

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

Multiply 1 and 7 to get 7.

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

Add 7 and 6 to get 13.

$$\frac{13\times 2}{7\left(5\times 2+1\right)}$$

Multiply 13 and 2 to get 26.

$$\frac{26}{7\left(5\times 2+1\right)}$$

Multiply 5 and 2 to get 10.

$$\frac{26}{7\left(10+1\right)}$$

Add 10 and 1 to get 11.

$$\frac{26}{7\times 11}$$

Multiply 7 and 11 to get 77.

$$\frac{26}{77}$$

Factor

$$\frac{2 \cdot 13}{7 \cdot 11} = 0.33766233766233766$$