Solve 21/8/1frac{5{6}}

$$\frac{ 2 \frac{ 1 }{ 8 } }{ 1 \frac{ 5 }{ 6 } }$$

Evaluate

$$\frac{51}{44}\approx 1.159090909$$

Solution Steps

Divide \frac{2\times 8+1}{8} by \frac{1\times 6+5}{6} by multiplying \frac{2\times 8+1}{8} by the reciprocal of \frac{1\times 6+5}{6}.

$$\frac{\left(2\times 8+1\right)\times 6}{8\left(1\times 6+5\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(1+2\times 8\right)}{4\left(5+6\right)}$$

Multiply 2 and 8 to get 16.

$$\frac{3\left(1+16\right)}{4\left(5+6\right)}$$

Add 1 and 16 to get 17.

$$\frac{3\times 17}{4\left(5+6\right)}$$

Multiply 3 and 17 to get 51.

$$\frac{51}{4\left(5+6\right)}$$

Add 5 and 6 to get 11.

$$\frac{51}{4\times 11}$$

Multiply 4 and 11 to get 44.

$$\frac{51}{44}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {2} \cdot 11} = 1\frac{7}{44} = 1.1590909090909092$$