Solve 1672/12+3811/12

$$167 \frac{ 2 }{ 12 } +38 \frac{ 11 }{ 12 }$$

Evaluate

$$\frac{2473}{12}\approx 206.083333333$$

Solution Steps

Multiply 167 and 12 to get 2004.

$$\frac{2004+2}{12}+\frac{38\times 12+11}{12}$$

Add 2004 and 2 to get 2006.

$$\frac{2006}{12}+\frac{38\times 12+11}{12}$$

Reduce the fraction \frac{2006}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1003}{6}+\frac{38\times 12+11}{12}$$

Multiply 38 and 12 to get 456.

$$\frac{1003}{6}+\frac{456+11}{12}$$

Add 456 and 11 to get 467.

$$\frac{1003}{6}+\frac{467}{12}$$

Least common multiple of 6 and 12 is 12. Convert \frac{1003}{6} and \frac{467}{12} to fractions with denominator 12.

$$\frac{2006}{12}+\frac{467}{12}$$

Since \frac{2006}{12} and \frac{467}{12} have the same denominator, add them by adding their numerators.

$$\frac{2006+467}{12}$$

Add 2006 and 467 to get 2473.

$$\frac{2473}{12}$$

Factor

$$\frac{2473}{2 ^ {2} \cdot 3} = 206\frac{1}{12} = 206.08333333333334$$