Solve 21/4+35/8+11/2

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

Evaluate

$$\frac{59}{8}=7.375$$

Solution Steps

Multiply 2 and 4 to get 8.

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

Add 8 and 1 to get 9.

$$\frac{9}{4}+\frac{3\times 8+5}{8}+\frac{1\times 2+1}{2}$$

Multiply 3 and 8 to get 24.

$$\frac{9}{4}+\frac{24+5}{8}+\frac{1\times 2+1}{2}$$

Add 24 and 5 to get 29.

$$\frac{9}{4}+\frac{29}{8}+\frac{1\times 2+1}{2}$$

Least common multiple of 4 and 8 is 8. Convert \frac{9}{4} and \frac{29}{8} to fractions with denominator 8.

$$\frac{18}{8}+\frac{29}{8}+\frac{1\times 2+1}{2}$$

Since \frac{18}{8} and \frac{29}{8} have the same denominator, add them by adding their numerators.

$$\frac{18+29}{8}+\frac{1\times 2+1}{2}$$

Add 18 and 29 to get 47.

$$\frac{47}{8}+\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{47}{8}+\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{47}{8}+\frac{3}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{47}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{47}{8}+\frac{12}{8}$$

Since \frac{47}{8} and \frac{12}{8} have the same denominator, add them by adding their numerators.

$$\frac{47+12}{8}$$

Add 47 and 12 to get 59.

$$\frac{59}{8}$$

Factor

$$\frac{59}{2 ^ {3}} = 7\frac{3}{8} = 7.375$$