Solve 21/2+33/4)^2

$$2 \frac { 1 } { 2 } + 3 \frac { 3 } { 4 } ) ^ { 2 }$$

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{3\times 4+3}{4}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{5}{2}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{5}{2}+\frac{15}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{15}{4} to fractions with denominator 4.

$$\frac{10}{4}+\frac{15}{4}$$

Since \frac{10}{4} and \frac{15}{4} have the same denominator, add them by adding their numerators.

$$\frac{10+15}{4}$$

Add 10 and 15 to get 25.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$