Solve 51/9/1frac{5{18}}

$$\frac{ 5 \frac{ 1 }{ 9 } }{ 1 \frac{ 5 }{ 18 } }$$

Evaluate

$$4$$

Solution Steps

Divide \frac{5\times 9+1}{9} by \frac{1\times 18+5}{18} by multiplying \frac{5\times 9+1}{9} by the reciprocal of \frac{1\times 18+5}{18}.

$$\frac{\left(5\times 9+1\right)\times 18}{9\left(1\times 18+5\right)}$$

Cancel out 9 in both numerator and denominator.

$$\frac{2\left(1+5\times 9\right)}{5+18}$$

Multiply 5 and 9 to get 45.

$$\frac{2\left(1+45\right)}{5+18}$$

Add 1 and 45 to get 46.

$$\frac{2\times 46}{5+18}$$

Multiply 2 and 46 to get 92.

$$\frac{92}{5+18}$$

Add 5 and 18 to get 23.

$$\frac{92}{23}$$

Divide 92 by 23 to get 4.

$$4$$

Factor

$$2^{2}$$