Solve 171/8+181/4

$$17 \frac { 1 } { 8 } + 18 \frac { 1 } { 4 }$$

Evaluate

$$\frac{283}{8}=35.375$$

Solution Steps

Multiply 17 and 8 to get 136.

$$\frac{136+1}{8}+\frac{18\times 4+1}{4}$$

Add 136 and 1 to get 137.

$$\frac{137}{8}+\frac{18\times 4+1}{4}$$

Multiply 18 and 4 to get 72.

$$\frac{137}{8}+\frac{72+1}{4}$$

Add 72 and 1 to get 73.

$$\frac{137}{8}+\frac{73}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{137}{8} and \frac{73}{4} to fractions with denominator 8.

$$\frac{137}{8}+\frac{146}{8}$$

Since \frac{137}{8} and \frac{146}{8} have the same denominator, add them by adding their numerators.

$$\frac{137+146}{8}$$

Add 137 and 146 to get 283.

$$\frac{283}{8}$$

Factor

$$\frac{283}{2 ^ {3}} = 35\frac{3}{8} = 35.375$$