Solve 1/-45+1/25

$$\frac{ 1 }{ -45 } + \frac{ 1 }{ 25 }$$

Evaluate

$$\frac{4}{225}\approx 0.017777778$$

Solution Steps

Fraction \frac{1}{-45} can be rewritten as -\frac{1}{45} by extracting the negative sign.

$$-\frac{1}{45}+\frac{1}{25}$$

Least common multiple of 45 and 25 is 225. Convert -\frac{1}{45} and \frac{1}{25} to fractions with denominator 225.

$$-\frac{5}{225}+\frac{9}{225}$$

Since -\frac{5}{225} and \frac{9}{225} have the same denominator, add them by adding their numerators.

$$\frac{-5+9}{225}$$

Add -5 and 9 to get 4.

$$\frac{4}{225}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2} \cdot 5 ^ {2}} = 0.017777777777777778$$