Solve 21/6div11/8

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

Evaluate

$$\frac{52}{27}\approx 1.925925926$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 6 to get 12.

$$\frac{4\left(1+12\right)}{3\left(1+8\right)}$$

Add 1 and 12 to get 13.

$$\frac{4\times 13}{3\left(1+8\right)}$$

Multiply 4 and 13 to get 52.

$$\frac{52}{3\left(1+8\right)}$$

Add 1 and 8 to get 9.

$$\frac{52}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$\frac{52}{27}$$

Factor

$$\frac{2 ^ {2} \cdot 13}{3 ^ {3}} = 1\frac{25}{27} = 1.9259259259259258$$