Solve 26/40+5/7

$$\frac{ 26 }{ 40 } + \frac{ 5 }{ 7 }$$

Evaluate

$$\frac{191}{140}\approx 1.364285714$$

Solution Steps

Reduce the fraction \frac{26}{40} to lowest terms by extracting and canceling out 2.

$$\frac{13}{20}+\frac{5}{7}$$

Least common multiple of 20 and 7 is 140. Convert \frac{13}{20} and \frac{5}{7} to fractions with denominator 140.

$$\frac{91}{140}+\frac{100}{140}$$

Since \frac{91}{140} and \frac{100}{140} have the same denominator, add them by adding their numerators.

$$\frac{91+100}{140}$$

Add 91 and 100 to get 191.

$$\frac{191}{140}$$

Factor

$$\frac{191}{2 ^ {2} \cdot 5 \cdot 7} = 1\frac{51}{140} = 1.3642857142857143$$