5/9+2/7

Let's calculate: $\frac{5}{9}+\frac{2}{7}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $63$, the least common multiple of $9$ and $7$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{5}{9}+\frac{2}{7}$ = $\frac{5\times 7}{9\times 7}+\frac{2\times 9}{7\times 9}$ = $\frac{5\times 7+2\times 9}{9\times 7}$

$\frac{5\times 7+2\times 9}{9\times 7}$

ⓘ Perform multiplications before additions and subtractions: $5\times 7$ = $35$, $2\times 9$ = $18$

ⅰ $9\times 7$ = $63$

$\frac{35+18}{63}$

ⓘ Calculate the numerator and denominator before dividing: $35+18$ = $53$

▶Result:   $\frac{53}{63}$

The numeric value of: $\frac{53}{63}$ equals:

▷ $\approx 0.8413$