Solve 3/4(3)+11/2=

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

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

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

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

Multiply 3 and 3 to get 9.

$$\frac{9}{4}+\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{9}{4}+\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{9}{4}+\frac{3}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{9}{4}+\frac{6}{4}$$

Since \frac{9}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+6}{4}$$

Add 9 and 6 to get 15.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$