Solve 31/2+11/4

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

Evaluate

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

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{1\times 4+1}{4}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}+\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{7}{2}+\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{7}{2}+\frac{5}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{7}{2} and \frac{5}{4} to fractions with denominator 4.

$$\frac{14}{4}+\frac{5}{4}$$

Since \frac{14}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{14+5}{4}$$

Add 14 and 5 to get 19.

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

Factor

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