Solve 41/4+73/8

$$4 \frac{ 1 }{ 4 } +7 \frac{ 3 }{ 8 }$$

Evaluate

$$\frac{93}{8}=11.625$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+1}{4}+\frac{7\times 8+3}{8}$$

Add 16 and 1 to get 17.

$$\frac{17}{4}+\frac{7\times 8+3}{8}$$

Multiply 7 and 8 to get 56.

$$\frac{17}{4}+\frac{56+3}{8}$$

Add 56 and 3 to get 59.

$$\frac{17}{4}+\frac{59}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{17}{4} and \frac{59}{8} to fractions with denominator 8.

$$\frac{34}{8}+\frac{59}{8}$$

Since \frac{34}{8} and \frac{59}{8} have the same denominator, add them by adding their numerators.

$$\frac{34+59}{8}$$

Add 34 and 59 to get 93.

$$\frac{93}{8}$$

Factor

$$\frac{3 \cdot 31}{2 ^ {3}} = 11\frac{5}{8} = 11.625$$