Solve 13/8+21/3+15/6

$$1 \frac { 3 } { 8 } + 2 \frac { 1 } { 3 } + 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{133}{24}\approx 5.541666667$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+3}{8}+\frac{2\times 3+1}{3}+\frac{1\times 6+5}{6}$$

Add 8 and 3 to get 11.

$$\frac{11}{8}+\frac{2\times 3+1}{3}+\frac{1\times 6+5}{6}$$

Multiply 2 and 3 to get 6.

$$\frac{11}{8}+\frac{6+1}{3}+\frac{1\times 6+5}{6}$$

Add 6 and 1 to get 7.

$$\frac{11}{8}+\frac{7}{3}+\frac{1\times 6+5}{6}$$

Least common multiple of 8 and 3 is 24. Convert \frac{11}{8} and \frac{7}{3} to fractions with denominator 24.

$$\frac{33}{24}+\frac{56}{24}+\frac{1\times 6+5}{6}$$

Since \frac{33}{24} and \frac{56}{24} have the same denominator, add them by adding their numerators.

$$\frac{33+56}{24}+\frac{1\times 6+5}{6}$$

Add 33 and 56 to get 89.

$$\frac{89}{24}+\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{89}{24}+\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{89}{24}+\frac{11}{6}$$

Least common multiple of 24 and 6 is 24. Convert \frac{89}{24} and \frac{11}{6} to fractions with denominator 24.

$$\frac{89}{24}+\frac{44}{24}$$

Since \frac{89}{24} and \frac{44}{24} have the same denominator, add them by adding their numerators.

$$\frac{89+44}{24}$$

Add 89 and 44 to get 133.

$$\frac{133}{24}$$

Factor

$$\frac{7 \cdot 19}{2 ^ {3} \cdot 3} = 5\frac{13}{24} = 5.541666666666667$$