Solve 12^2/12^2+{left(7/8right)}^2

$$\frac{ { 12 }^{ 2 } }{ { 12 }^{ 2 } } + { \left( \frac{ 7 }{ 8 } \right) }^{ 2 }$$

Evaluate

$$\frac{113}{64}=1.765625$$

Solution Steps

Divide 12^{2} by 12^{2} to get 1.

$$1+\left(\frac{7}{8}\right)^{2}$$

Calculate \frac{7}{8} to the power of 2 and get \frac{49}{64}.

$$1+\frac{49}{64}$$

Convert 1 to fraction \frac{64}{64}.

$$\frac{64}{64}+\frac{49}{64}$$

Since \frac{64}{64} and \frac{49}{64} have the same denominator, add them by adding their numerators.

$$\frac{64+49}{64}$$

Add 64 and 49 to get 113.

$$\frac{113}{64}$$

Factor

$$\frac{113}{2 ^ {6}} = 1\frac{49}{64} = 1.765625$$