Solve 121/6div113/5

$$12 \frac { 1 } { 6 } \div 11 \frac { 3 } { 5 }$$

Evaluate

$$\frac{365}{348}\approx 1.048850575$$

Solution Steps

Divide \frac{12\times 6+1}{6} by \frac{11\times 5+3}{5} by multiplying \frac{12\times 6+1}{6} by the reciprocal of \frac{11\times 5+3}{5}.

$$\frac{\left(12\times 6+1\right)\times 5}{6\left(11\times 5+3\right)}$$

Multiply 12 and 6 to get 72.

$$\frac{\left(72+1\right)\times 5}{6\left(11\times 5+3\right)}$$

Add 72 and 1 to get 73.

$$\frac{73\times 5}{6\left(11\times 5+3\right)}$$

Multiply 73 and 5 to get 365.

$$\frac{365}{6\left(11\times 5+3\right)}$$

Multiply 11 and 5 to get 55.

$$\frac{365}{6\left(55+3\right)}$$

Add 55 and 3 to get 58.

$$\frac{365}{6\times 58}$$

Multiply 6 and 58 to get 348.

$$\frac{365}{348}$$

Factor

$$\frac{5 \cdot 73}{2 ^ {2} \cdot 3 \cdot 29} = 1\frac{17}{348} = 1.0488505747126438$$