Solve 31/2+21/4

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

Evaluate

$$\frac{23}{4}=5.75$$

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

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

Multiply 2 and 4 to get 8.

$$\frac{7}{2}+\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{7}{2}+\frac{9}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{7}{2} and \frac{9}{4} to fractions with denominator 4.

$$\frac{14}{4}+\frac{9}{4}$$

Since \frac{14}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{14+9}{4}$$

Add 14 and 9 to get 23.

$$\frac{23}{4}$$

Factor

$$\frac{23}{2 ^ {2}} = 5\frac{3}{4} = 5.75$$