Solve 11/8div25/6=

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

Evaluate

$$\frac{27}{68}\approx 0.397058824$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Add 1 and 8 to get 9.

$$\frac{3\times 9}{4\left(5+2\times 6\right)}$$

Multiply 3 and 9 to get 27.

$$\frac{27}{4\left(5+2\times 6\right)}$$

Multiply 2 and 6 to get 12.

$$\frac{27}{4\left(5+12\right)}$$

Add 5 and 12 to get 17.

$$\frac{27}{4\times 17}$$

Multiply 4 and 17 to get 68.

$$\frac{27}{68}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 17} = 0.39705882352941174$$