Solve 25/2.205

$$25 / 2.205$$

Evaluate

$$2.5625$$

Solution Steps

Convert decimal number 0.205 to fraction \frac{205}{1000}. Reduce the fraction \frac{205}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{25}{2}\times \frac{41}{200}$$

Multiply \frac{25}{2} times \frac{41}{200} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 41}{2\times 200}$$

Do the multiplications in the fraction \frac{25\times 41}{2\times 200}.

$$\frac{1025}{400}$$

Reduce the fraction \frac{1025}{400} to lowest terms by extracting and canceling out 25.

$$\frac{41}{16}$$

Factor

$$\frac{41}{2 ^ {4}} = 2\frac{9}{16} = 2.5625$$