Solve 3/4+1/2+4/6+3/8

$$\frac { 3 } { 4 } + \frac { 1 } { 2 } + \frac { 4 } { 6 } + \frac { 3 } { 8 }$$

Evaluate

$$\frac{55}{24}\approx 2.291666667$$

Solution Steps

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

$$\frac{3}{4}+\frac{2}{4}+\frac{4}{6}+\frac{3}{8}$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{4}+\frac{4}{6}+\frac{3}{8}$$

Add 3 and 2 to get 5.

$$\frac{5}{4}+\frac{4}{6}+\frac{3}{8}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}+\frac{2}{3}+\frac{3}{8}$$

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{15}{12}+\frac{8}{12}+\frac{3}{8}$$

Since \frac{15}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+8}{12}+\frac{3}{8}$$

Add 15 and 8 to get 23.

$$\frac{23}{12}+\frac{3}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{23}{12} and \frac{3}{8} to fractions with denominator 24.

$$\frac{46}{24}+\frac{9}{24}$$

Since \frac{46}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

$$\frac{46+9}{24}$$

Add 46 and 9 to get 55.

$$\frac{55}{24}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {3} \cdot 3} = 2\frac{7}{24} = 2.2916666666666665$$