Solve 25/frac{9{4}}

$$\frac{ 25 }{ \frac{ 9 }{ 4 } }$$

Evaluate

$$\frac{100}{9}\approx 11.111111111$$

Solution Steps

Divide 25 by \frac{9}{4} by multiplying 25 by the reciprocal of \frac{9}{4}.

$$25\times \frac{4}{9}$$

Express 25\times \frac{4}{9} as a single fraction.

$$\frac{25\times 4}{9}$$

Multiply 25 and 4 to get 100.

$$\frac{100}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 ^ {2}} = 11\frac{1}{9} = 11.11111111111111$$