Solve 25/6div2/9

$$\frac{ 25 }{ 6 } \div \frac{ 2 }{ 9 }$$

Evaluate

$$\frac{75}{4}=18.75$$

Solution Steps

Divide \frac{25}{6} by \frac{2}{9} by multiplying \frac{25}{6} by the reciprocal of \frac{2}{9}.

$$\frac{25}{6}\times \frac{9}{2}$$

Multiply \frac{25}{6} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 9}{6\times 2}$$

Do the multiplications in the fraction \frac{25\times 9}{6\times 2}.

$$\frac{225}{12}$$

Reduce the fraction \frac{225}{12} to lowest terms by extracting and canceling out 3.

$$\frac{75}{4}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {2}} = 18\frac{3}{4} = 18.75$$