Solve =(3*33/4)+(5*11/2)

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

Evaluate

$$\frac{75}{4}=18.75$$

Solution Steps

Multiply 3 and 4 to get 12.

$$3\times \frac{12+3}{4}+5\times \frac{1\times 2+1}{2}$$

Add 12 and 3 to get 15.

$$3\times \frac{15}{4}+5\times \frac{1\times 2+1}{2}$$

Express 3\times \frac{15}{4} as a single fraction.

$$\frac{3\times 15}{4}+5\times \frac{1\times 2+1}{2}$$

Multiply 3 and 15 to get 45.

$$\frac{45}{4}+5\times \frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{45}{4}+5\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{45}{4}+5\times \frac{3}{2}$$

Express 5\times \frac{3}{2} as a single fraction.

$$\frac{45}{4}+\frac{5\times 3}{2}$$

Multiply 5 and 3 to get 15.

$$\frac{45}{4}+\frac{15}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{45}{4} and \frac{15}{2} to fractions with denominator 4.

$$\frac{45}{4}+\frac{30}{4}$$

Since \frac{45}{4} and \frac{30}{4} have the same denominator, add them by adding their numerators.

$$\frac{45+30}{4}$$

Add 45 and 30 to get 75.

$$\frac{75}{4}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {2}} = 18\frac{3}{4} = 18.75$$