Solve 13/8+41/2

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

Evaluate

$$\frac{47}{8}=5.875$$

Solution Steps

Multiply 1 and 8 to get 8.

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

Add 8 and 3 to get 11.

$$\frac{11}{8}+\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{11}{8}+\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{11}{8}+\frac{9}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{11}{8} and \frac{9}{2} to fractions with denominator 8.

$$\frac{11}{8}+\frac{36}{8}$$

Since \frac{11}{8} and \frac{36}{8} have the same denominator, add them by adding their numerators.

$$\frac{11+36}{8}$$

Add 11 and 36 to get 47.

$$\frac{47}{8}$$

Factor

$$\frac{47}{2 ^ {3}} = 5\frac{7}{8} = 5.875$$