Solve {left(3/2right)}^2+1+9

$${ \left( \frac{ 3 }{ 2 } \right) }^{ 2 } +1+9$$

Evaluate

$$\frac{49}{4}=12.25$$

Solution Steps

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\frac{9}{4}+1+9$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{9}{4}+\frac{4}{4}+9$$

Since \frac{9}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{4}+9$$

Add 9 and 4 to get 13.

$$\frac{13}{4}+9$$

Convert 9 to fraction \frac{36}{4}.

$$\frac{13}{4}+\frac{36}{4}$$

Since \frac{13}{4} and \frac{36}{4} have the same denominator, add them by adding their numerators.

$$\frac{13+36}{4}$$

Add 13 and 36 to get 49.

$$\frac{49}{4}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2}} = 12\frac{1}{4} = 12.25$$