Solve 21/2+111/4=

$$2 \frac { 1 } { 2 } + 11 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{55}{4}=13.75$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{11\times 4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{11\times 4+1}{4}$$

Multiply 11 and 4 to get 44.

$$\frac{5}{2}+\frac{44+1}{4}$$

Add 44 and 1 to get 45.

$$\frac{5}{2}+\frac{45}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{45}{4} to fractions with denominator 4.

$$\frac{10}{4}+\frac{45}{4}$$

Since \frac{10}{4} and \frac{45}{4} have the same denominator, add them by adding their numerators.

$$\frac{10+45}{4}$$

Add 10 and 45 to get 55.

$$\frac{55}{4}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2}} = 13\frac{3}{4} = 13.75$$