Solve 1/24^2+frac{9{2}}

$$\frac { 1 } { 24 ^ { 2 } + \frac { 9 } { 2 } }$$

Evaluate

$$\frac{2}{1161}\approx 0.001722653$$

Solution Steps

Calculate 24 to the power of 2 and get 576.

$$\frac{1}{576+\frac{9}{2}}$$

Convert 576 to fraction \frac{1152}{2}.

$$\frac{1}{\frac{1152}{2}+\frac{9}{2}}$$

Since \frac{1152}{2} and \frac{9}{2} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{1152+9}{2}}$$

Add 1152 and 9 to get 1161.

$$\frac{1}{\frac{1161}{2}}$$

Divide 1 by \frac{1161}{2} by multiplying 1 by the reciprocal of \frac{1161}{2}.

$$1\times \frac{2}{1161}$$

Multiply 1 and \frac{2}{1161} to get \frac{2}{1161}.

$$\frac{2}{1161}$$

Factor

$$\frac{2}{3 ^ {3} \cdot 43} = 0.0017226528854435831$$