Solve 11/2+31/4

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

Evaluate

$$\frac{19}{4}=4.75$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 3 and 4 to get 12.

$$\frac{3}{2}+\frac{12+1}{4}$$

Add 12 and 1 to get 13.

$$\frac{3}{2}+\frac{13}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{13}{4} to fractions with denominator 4.

$$\frac{6}{4}+\frac{13}{4}$$

Since \frac{6}{4} and \frac{13}{4} have the same denominator, add them by adding their numerators.

$$\frac{6+13}{4}$$

Add 6 and 13 to get 19.

$$\frac{19}{4}$$

Factor

$$\frac{19}{2 ^ {2}} = 4\frac{3}{4} = 4.75$$