Solve 421/12+177/8

$$42 \frac{ 1 }{ 12 } +17 \frac{ 7 }{ 8 }$$

Evaluate

$$\frac{1439}{24}\approx 59.958333333$$

Solution Steps

Multiply 42 and 12 to get 504.

$$\frac{504+1}{12}+\frac{17\times 8+7}{8}$$

Add 504 and 1 to get 505.

$$\frac{505}{12}+\frac{17\times 8+7}{8}$$

Multiply 17 and 8 to get 136.

$$\frac{505}{12}+\frac{136+7}{8}$$

Add 136 and 7 to get 143.

$$\frac{505}{12}+\frac{143}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{505}{12} and \frac{143}{8} to fractions with denominator 24.

$$\frac{1010}{24}+\frac{429}{24}$$

Since \frac{1010}{24} and \frac{429}{24} have the same denominator, add them by adding their numerators.

$$\frac{1010+429}{24}$$

Add 1010 and 429 to get 1439.

$$\frac{1439}{24}$$

Factor

$$\frac{1439}{2 ^ {3} \cdot 3} = 59\frac{23}{24} = 59.958333333333336$$