7/13+11/15

Let's calculate: $\frac{7}{13}+\frac{11}{15}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $195$, the least common multiple of $13$ and $15$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{7}{13}+\frac{11}{15}$ = $\frac{7\times 15}{13\times 15}+\frac{11\times 13}{15\times 13}$ = $\frac{7\times 15+11\times 13}{13\times 15}$

$\frac{7\times 15+11\times 13}{13\times 15}$

ⓘ Multiplications are done before additions and subtractions: $7\times 15$ = $7\times (10+5)$ = $7\times 10+7\times 5$ = $70+35$ = $105$, $11\times 13$ = $(10+1)\times 13$ = $10\times 13+13$ = $130+13$ = $143$

ⅰ $13\times 15$ = $(10+3)\times 15$ = $10\times 15+3\times 15$ = $150+45$ = $195$

$\frac{105+143}{195}$

ⓘ The numerator and the denominator are computed before the division: $105+143$ = $248$

▶Result:   $\frac{248}{195}$

The numeric value of: $\frac{248}{195}$ equals:

▷ $\approx 1.2718$