Solve 4/35+17/20

$$\frac{ 4 }{ 35 } + \frac{ 17 }{ 20 }$$

Evaluate

$$\frac{27}{28}\approx 0.964285714$$

Solution Steps

Least common multiple of 35 and 20 is 140. Convert \frac{4}{35} and \frac{17}{20} to fractions with denominator 140.

$$\frac{16}{140}+\frac{119}{140}$$

Since \frac{16}{140} and \frac{119}{140} have the same denominator, add them by adding their numerators.

$$\frac{16+119}{140}$$

Add 16 and 119 to get 135.

$$\frac{135}{140}$$

Reduce the fraction \frac{135}{140} to lowest terms by extracting and canceling out 5.

$$\frac{27}{28}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 7} = 0.9642857142857143$$