7/9+7/13

Let's evaluate: $\frac{7}{9}+\frac{7}{13}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $117$, the least common multiple of $9$ and $13$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{7}{9}+\frac{7}{13}$ = $\frac{7\times 13}{9\times 13}+\frac{7\times 9}{13\times 9}$ = $\frac{7\times 13+7\times 9}{9\times 13}$

$\frac{7\times 13+7\times 9}{9\times 13}$

ⓘ Multiplications are done before additions and subtractions: $7\times 13$ = $7\times (10+3)$ = $7\times 10+7\times 3$ = $70+21$ = $91$, $7\times 9$ = $63$

ⅰ $9\times 13$ = $9\times (10+3)$ = $9\times 10+9\times 3$ = $90+27$ = $117$

$\frac{91+63}{117}$

ⓘ The numerator and the denominator are computed before the division: $91+63$ = $154$

▶Result:   $\frac{154}{117}$

The numeric value of: $\frac{154}{117}$ is:

▷ $\approx 1.3162$