Solve 38/12+66/12=

$$\frac{ 38 }{ 12 } + \frac{ 66 }{ 12 } =$$

Evaluate

$$\frac{26}{3}\approx 8.666666667$$

Solution Steps

Reduce the fraction \frac{38}{12} to lowest terms by extracting and canceling out 2.

$$\frac{19}{6}+\frac{66}{12}$$

Reduce the fraction \frac{66}{12} to lowest terms by extracting and canceling out 6.

$$\frac{19}{6}+\frac{11}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{19}{6} and \frac{11}{2} to fractions with denominator 6.

$$\frac{19}{6}+\frac{33}{6}$$

Since \frac{19}{6} and \frac{33}{6} have the same denominator, add them by adding their numerators.

$$\frac{19+33}{6}$$

Add 19 and 33 to get 52.

$$\frac{52}{6}$$

Reduce the fraction \frac{52}{6} to lowest terms by extracting and canceling out 2.

$$\frac{26}{3}$$

Factor

$$\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666$$