Solve 13/4+21/2+5/8

$$1 \frac { 3 } { 4 } + 2 \frac { 1 } { 2 } + \frac { 5 } { 8 }$$

Evaluate

$$\frac{39}{8}=4.875$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}+\frac{2\times 2+1}{2}+\frac{5}{8}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}+\frac{2\times 2+1}{2}+\frac{5}{8}$$

Multiply 2 and 2 to get 4.

$$\frac{7}{4}+\frac{4+1}{2}+\frac{5}{8}$$

Add 4 and 1 to get 5.

$$\frac{7}{4}+\frac{5}{2}+\frac{5}{8}$$

Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{7}{4}+\frac{10}{4}+\frac{5}{8}$$

Since \frac{7}{4} and \frac{10}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+10}{4}+\frac{5}{8}$$

Add 7 and 10 to get 17.

$$\frac{17}{4}+\frac{5}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{17}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{34}{8}+\frac{5}{8}$$

Since \frac{34}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{34+5}{8}$$

Add 34 and 5 to get 39.

$$\frac{39}{8}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {3}} = 4\frac{7}{8} = 4.875$$