Solve 3/2+1/4+5/3

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

Evaluate

$$\frac{41}{12}\approx 3.416666667$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{6}{4}+\frac{1}{4}+\frac{5}{3}$$

Since \frac{6}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{4}+\frac{5}{3}$$

Add 6 and 1 to get 7.

$$\frac{7}{4}+\frac{5}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{7}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{21}{12}+\frac{20}{12}$$

Since \frac{21}{12} and \frac{20}{12} have the same denominator, add them by adding their numerators.

$$\frac{21+20}{12}$$

Add 21 and 20 to get 41.

$$\frac{41}{12}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 3} = 3\frac{5}{12} = 3.4166666666666665$$