5/11+9/13

Let's evaluate: $\frac{5}{11}+\frac{9}{13}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $143$, the least common multiple of $11$ and $13$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{5}{11}+\frac{9}{13}$ = $\frac{5\times 13}{11\times 13}+\frac{9\times 11}{13\times 11}$ = $\frac{5\times 13+9\times 11}{11\times 13}$

$\frac{5\times 13+9\times 11}{11\times 13}$

ⓘ Multiplications are done before additions and subtractions: $5\times 13$ = $5\times (10+3)$ = $5\times 10+5\times 3$ = $50+15$ = $65$, $9\times 11$ = $9\times (10+1)$ = $9\times 10+9$ = $90+9$ = $99$

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

$\frac{65+99}{143}$

ⓘ The numerator and the denominator are computed before the division: $65+99$ = $164$

▶Result:   $\frac{164}{143}$

The numeric value of: $\frac{164}{143}$ is:

▷ $\approx 1.1469$