Solve 74/35+74/52

$$\frac{ 74 }{ 35 } + \frac{ 74 }{ 52 }$$

Evaluate

$$\frac{3219}{910}\approx 3.537362637$$

Solution Steps

Reduce the fraction \frac{74}{52} to lowest terms by extracting and canceling out 2.

$$\frac{74}{35}+\frac{37}{26}$$

Least common multiple of 35 and 26 is 910. Convert \frac{74}{35} and \frac{37}{26} to fractions with denominator 910.

$$\frac{1924}{910}+\frac{1295}{910}$$

Since \frac{1924}{910} and \frac{1295}{910} have the same denominator, add them by adding their numerators.

$$\frac{1924+1295}{910}$$

Add 1924 and 1295 to get 3219.

$$\frac{3219}{910}$$

Factor

$$\frac{3 \cdot 29 \cdot 37}{2 \cdot 5 \cdot 7 \cdot 13} = 3\frac{489}{910} = 3.5373626373626372$$