Solve 11/2+23/4

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

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 2 and 4 to get 8.

$$\frac{3}{2}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{3}{2}+\frac{11}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{11}{4} to fractions with denominator 4.

$$\frac{6}{4}+\frac{11}{4}$$

Since \frac{6}{4} and \frac{11}{4} have the same denominator, add them by adding their numerators.

$$\frac{6+11}{4}$$

Add 6 and 11 to get 17.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$