Solve 7/2+3/4+1/4=

$$\frac { 7 } { 2 } + 3 / 4 + 1 / 4 =$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{7}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{14}{4}+\frac{3}{4}+\frac{1}{4}$$

Since \frac{14}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{14+3}{4}+\frac{1}{4}$$

Add 14 and 3 to get 17.

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

Since \frac{17}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 17 and 1 to get 18.

$$\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$