Solve 11/2+5+43/4

$$1 \frac { 1 } { 2 } + 5 + 4 \frac { 3 } { 4 }$$

Evaluate

$$\frac{45}{4}=11.25$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}+5+\frac{4\times 4+3}{4}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}+5+\frac{4\times 4+3}{4}$$

Convert 5 to fraction \frac{10}{2}.

$$\frac{3}{2}+\frac{10}{2}+\frac{4\times 4+3}{4}$$

Since \frac{3}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+10}{2}+\frac{4\times 4+3}{4}$$

Add 3 and 10 to get 13.

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

Multiply 4 and 4 to get 16.

$$\frac{13}{2}+\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{13}{2}+\frac{19}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{13}{2} and \frac{19}{4} to fractions with denominator 4.

$$\frac{26}{4}+\frac{19}{4}$$

Since \frac{26}{4} and \frac{19}{4} have the same denominator, add them by adding their numerators.

$$\frac{26+19}{4}$$

Add 26 and 19 to get 45.

$$\frac{45}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2}} = 11\frac{1}{4} = 11.25$$