Solve 21/2+12/2+11/4

$$2 \frac { 1 } { 2 } + \frac { 12 } { 2 } + 1 \frac { 1 } { 4 }$$

Evaluate

$$\frac{39}{4}=9.75$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{12}{2}+\frac{1\times 4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{12}{2}+\frac{1\times 4+1}{4}$$

Since \frac{5}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$\frac{5+12}{2}+\frac{1\times 4+1}{4}$$

Add 5 and 12 to get 17.

$$\frac{17}{2}+\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{17}{2}+\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{17}{2}+\frac{5}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{17}{2} and \frac{5}{4} to fractions with denominator 4.

$$\frac{34}{4}+\frac{5}{4}$$

Since \frac{34}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{34+5}{4}$$

Add 34 and 5 to get 39.

$$\frac{39}{4}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {2}} = 9\frac{3}{4} = 9.75$$