Solve 1/1+{left(frac{3{7}right)}^2}

$$\frac{ 1 }{ 1+ { \left( \frac{ 3 }{ 7 } \right) }^{ 2 } }$$

Evaluate

$$\frac{49}{58}\approx 0.844827586$$

Solution Steps

Calculate \frac{3}{7} to the power of 2 and get \frac{9}{49}.

$$\frac{1}{1+\frac{9}{49}}$$

Convert 1 to fraction \frac{49}{49}.

$$\frac{1}{\frac{49}{49}+\frac{9}{49}}$$

Since \frac{49}{49} and \frac{9}{49} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{49+9}{49}}$$

Add 49 and 9 to get 58.

$$\frac{1}{\frac{58}{49}}$$

Divide 1 by \frac{58}{49} by multiplying 1 by the reciprocal of \frac{58}{49}.

$$1\times \frac{49}{58}$$

Multiply 1 and \frac{49}{58} to get \frac{49}{58}.

$$\frac{49}{58}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 29} = 0.8448275862068966$$