Solve (2*11/2)+(5*1/4)+(4*1/4)

$$(2 \times 1 \frac{ 1 }{ 2 } )+(5 \times \frac{ 1 }{ 4 } )+(4 \times \frac{ 1 }{ 4 } )$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Cancel out 2 and 2.

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

Multiply 5 and \frac{1}{4} to get \frac{5}{4}.

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

Convert 3 to fraction \frac{12}{4}.

$$\frac{12}{4}+\frac{5}{4}+4\times \frac{1}{4}$$

Since \frac{12}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{4}+4\times \frac{1}{4}$$

Add 12 and 5 to get 17.

$$\frac{17}{4}+4\times \frac{1}{4}$$

Cancel out 4 and 4.

$$\frac{17}{4}+1$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{17}{4}+\frac{4}{4}$$

Since \frac{17}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$\frac{17+4}{4}$$

Add 17 and 4 to get 21.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$