2/13+7/11

Let's calculate: $\frac{2}{13}+\frac{7}{11}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $143$, the least common multiple of $13$ and $11$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{2}{13}+\frac{7}{11}$ = $\frac{2\times 11}{13\times 11}+\frac{7\times 13}{11\times 13}$ = $\frac{2\times 11+7\times 13}{13\times 11}$

$\frac{2\times 11+7\times 13}{13\times 11}$

ⓘ Multiplications are done before additions and subtractions: $2\times 11$ = $2\times (10+1)$ = $2\times 10+2$ = $20+2$ = $22$, $7\times 13$ = $7\times (10+3)$ = $7\times 10+7\times 3$ = $70+21$ = $91$

ⅰ $13\times 11$ = $13\times (10+1)$ = $13\times 10+13$ = $130+13$ = $143$

$\frac{22+91}{143}$

ⓘ Calculate the numerator and denominator before dividing: $22+91$ = $113$

▶Result:   $\frac{113}{143}$

The numeric value of: $\frac{113}{143}$ is:

▷ $\approx 0.7902$