Solve 12.22/9+(12/3)^2=

$$12.2 \frac { 2 } { 9 } + ( 1 \frac { 2 } { 3 } ) ^ { 2 } =$$

Evaluate

$$15.2$$

Solution Steps

Multiply 12.2 and 9 to get 109.8.

$$\frac{109.8+2}{9}+\left(\frac{1\times 3+2}{3}\right)^{2}$$

Add 109.8 and 2 to get 111.8.

$$\frac{111.8}{9}+\left(\frac{1\times 3+2}{3}\right)^{2}$$

Expand \frac{111.8}{9} by multiplying both numerator and the denominator by 10.

$$\frac{1118}{90}+\left(\frac{1\times 3+2}{3}\right)^{2}$$

Reduce the fraction \frac{1118}{90} to lowest terms by extracting and canceling out 2.

$$\frac{559}{45}+\left(\frac{1\times 3+2}{3}\right)^{2}$$

Multiply 1 and 3 to get 3.

$$\frac{559}{45}+\left(\frac{3+2}{3}\right)^{2}$$

Add 3 and 2 to get 5.

$$\frac{559}{45}+\left(\frac{5}{3}\right)^{2}$$

Calculate \frac{5}{3} to the power of 2 and get \frac{25}{9}.

$$\frac{559}{45}+\frac{25}{9}$$

Add \frac{559}{45} and \frac{25}{9} to get \frac{76}{5}.

$$\frac{76}{5}$$

Factor

$$\frac{19 \cdot 2 ^ {2}}{5} = 15\frac{1}{5} = 15.2$$