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

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

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Cancel out 2 and 2.

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

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$3+\frac{5}{4\times \left(\frac{1}{4}\right)^{0}}$$

Calculate \frac{1}{4} to the power of 0 and get 1.

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

Multiply 4 and 1 to get 4.

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

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

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

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

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

Add 12 and 5 to get 17.

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

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$