Solve 133/8+121/4

$$13 \frac { 3 } { 8 } + 12 \frac { 1 } { 4 }$$

Evaluate

$$\frac{205}{8}=25.625$$

Solution Steps

Multiply 13 and 8 to get 104.

$$\frac{104+3}{8}+\frac{12\times 4+1}{4}$$

Add 104 and 3 to get 107.

$$\frac{107}{8}+\frac{12\times 4+1}{4}$$

Multiply 12 and 4 to get 48.

$$\frac{107}{8}+\frac{48+1}{4}$$

Add 48 and 1 to get 49.

$$\frac{107}{8}+\frac{49}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{107}{8} and \frac{49}{4} to fractions with denominator 8.

$$\frac{107}{8}+\frac{98}{8}$$

Since \frac{107}{8} and \frac{98}{8} have the same denominator, add them by adding their numerators.

$$\frac{107+98}{8}$$

Add 107 and 98 to get 205.

$$\frac{205}{8}$$

Factor

$$\frac{5 \cdot 41}{2 ^ {3}} = 25\frac{5}{8} = 25.625$$