Solve 21/6div12/5*1/3

$$2 \frac { 1 } { 6 } \div 1 \frac { 2 } { 5 } \times \frac { 1 } { 3 }$$

Evaluate

$$\frac{65}{126}\approx 0.515873016$$

Solution Steps

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

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

Multiply 2 and 6 to get 12.

$$\frac{\left(12+1\right)\times 5}{6\left(1\times 5+2\right)}\times \frac{1}{3}$$

Add 12 and 1 to get 13.

$$\frac{13\times 5}{6\left(1\times 5+2\right)}\times \frac{1}{3}$$

Multiply 13 and 5 to get 65.

$$\frac{65}{6\left(1\times 5+2\right)}\times \frac{1}{3}$$

Multiply 1 and 5 to get 5.

$$\frac{65}{6\left(5+2\right)}\times \frac{1}{3}$$

Add 5 and 2 to get 7.

$$\frac{65}{6\times 7}\times \frac{1}{3}$$

Multiply 6 and 7 to get 42.

$$\frac{65}{42}\times \frac{1}{3}$$

Multiply \frac{65}{42} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65\times 1}{42\times 3}$$

Do the multiplications in the fraction \frac{65\times 1}{42\times 3}.

$$\frac{65}{126}$$

Factor

$$\frac{5 \cdot 13}{2 \cdot 3 ^ {2} \cdot 7} = 0.5158730158730159$$