Solve 74/12+52/8

$$\frac{ 74 }{ 12 } + \frac{ 52 }{ 8 }$$

Evaluate

$$\frac{38}{3}\approx 12.666666667$$

Solution Steps

Reduce the fraction \frac{74}{12} to lowest terms by extracting and canceling out 2.

$$\frac{37}{6}+\frac{52}{8}$$

Reduce the fraction \frac{52}{8} to lowest terms by extracting and canceling out 4.

$$\frac{37}{6}+\frac{13}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{37}{6} and \frac{13}{2} to fractions with denominator 6.

$$\frac{37}{6}+\frac{39}{6}$$

Since \frac{37}{6} and \frac{39}{6} have the same denominator, add them by adding their numerators.

$$\frac{37+39}{6}$$

Add 37 and 39 to get 76.

$$\frac{76}{6}$$

Reduce the fraction \frac{76}{6} to lowest terms by extracting and canceling out 2.

$$\frac{38}{3}$$

Factor

$$\frac{2 \cdot 19}{3} = 12\frac{2}{3} = 12.666666666666666$$