Solve 175/8+151/4

$$17 \frac { 5 } { 8 } + 15 \frac { 1 } { 4 }$$

Evaluate

$$\frac{263}{8}=32.875$$

Solution Steps

Multiply 17 and 8 to get 136.

$$\frac{136+5}{8}+\frac{15\times 4+1}{4}$$

Add 136 and 5 to get 141.

$$\frac{141}{8}+\frac{15\times 4+1}{4}$$

Multiply 15 and 4 to get 60.

$$\frac{141}{8}+\frac{60+1}{4}$$

Add 60 and 1 to get 61.

$$\frac{141}{8}+\frac{61}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{141}{8} and \frac{61}{4} to fractions with denominator 8.

$$\frac{141}{8}+\frac{122}{8}$$

Since \frac{141}{8} and \frac{122}{8} have the same denominator, add them by adding their numerators.

$$\frac{141+122}{8}$$

Add 141 and 122 to get 263.

$$\frac{263}{8}$$

Factor

$$\frac{263}{2 ^ {3}} = 32\frac{7}{8} = 32.875$$