Solve 12/16div14/18=

$$1 \frac { 2 } { 16 } \div \frac { 14 } { 18 } =$$

Evaluate

$$\frac{81}{56}\approx 1.446428571$$

Solution Steps

Divide \frac{1\times 16+2}{16} by \frac{14}{18} by multiplying \frac{1\times 16+2}{16} by the reciprocal of \frac{14}{18}.

$$\frac{\left(1\times 16+2\right)\times 18}{16\times 14}$$

Cancel out 2 in both numerator and denominator.

$$\frac{9\left(2+16\right)}{8\times 14}$$

Add 2 and 16 to get 18.

$$\frac{9\times 18}{8\times 14}$$

Multiply 9 and 18 to get 162.

$$\frac{162}{8\times 14}$$

Multiply 8 and 14 to get 112.

$$\frac{162}{112}$$

Reduce the fraction \frac{162}{112} to lowest terms by extracting and canceling out 2.

$$\frac{81}{56}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {3} \cdot 7} = 1\frac{25}{56} = 1.4464285714285714$$