Solve 33/4+37/8+23/4

$$3 \frac{ 3 }{ 4 } +3 \frac{ 7 }{ 8 } +2 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{83}{8}=10.375$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}+\frac{3\times 8+7}{8}+\frac{2\times 4+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}+\frac{3\times 8+7}{8}+\frac{2\times 4+3}{4}$$

Multiply 3 and 8 to get 24.

$$\frac{15}{4}+\frac{24+7}{8}+\frac{2\times 4+3}{4}$$

Add 24 and 7 to get 31.

$$\frac{15}{4}+\frac{31}{8}+\frac{2\times 4+3}{4}$$

Least common multiple of 4 and 8 is 8. Convert \frac{15}{4} and \frac{31}{8} to fractions with denominator 8.

$$\frac{30}{8}+\frac{31}{8}+\frac{2\times 4+3}{4}$$

Since \frac{30}{8} and \frac{31}{8} have the same denominator, add them by adding their numerators.

$$\frac{30+31}{8}+\frac{2\times 4+3}{4}$$

Add 30 and 31 to get 61.

$$\frac{61}{8}+\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{61}{8}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{61}{8}+\frac{11}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{61}{8} and \frac{11}{4} to fractions with denominator 8.

$$\frac{61}{8}+\frac{22}{8}$$

Since \frac{61}{8} and \frac{22}{8} have the same denominator, add them by adding their numerators.

$$\frac{61+22}{8}$$

Add 61 and 22 to get 83.

$$\frac{83}{8}$$

Factor

$$\frac{83}{2 ^ {3}} = 10\frac{3}{8} = 10.375$$