Solve 2(2)/(5)\div1(1)/(6) | Equatix

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Question

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

$\frac{72}{35}\approx 2.057142857$

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

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

Multiply $2$ and $5$ to get $10$.

$$\frac{\left(10+2\right)\times 6}{5\left(1\times 6+1\right)}$$

Add $10$ and $2$ to get $12$.

$$\frac{12\times 6}{5\left(1\times 6+1\right)}$$

Multiply $12$ and $6$ to get $72$.

$$\frac{72}{5\left(1\times 6+1\right)}$$

Multiply $1$ and $6$ to get $6$.

$$\frac{72}{5\left(6+1\right)}$$

Add $6$ and $1$ to get $7$.

$$\frac{72}{5\times 7}$$

Multiply $5$ and $7$ to get $35$.

$$\frac{72}{35}$$

$\frac{2 ^ {3} \cdot 3 ^ {2}}{5 \cdot 7} = 2\frac{2}{35} = 2.057142857142857$