13/15+3/11

Let's evaluate: $\frac{13}{15}+\frac{3}{11}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $165$, the least common multiple of $15$ and $11$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{13}{15}+\frac{3}{11}$ = $\frac{13\times 11}{15\times 11}+\frac{3\times 15}{11\times 15}$ = $\frac{13\times 11+3\times 15}{15\times 11}$

$\frac{13\times 11+3\times 15}{15\times 11}$

ⓘ Multiplications are done before additions and subtractions: $13\times 11$ = $13\times (10+1)$ = $13\times 10+13$ = $130+13$ = $143$, $3\times 15$ = $3\times (10+5)$ = $3\times 10+3\times 5$ = $30+15$ = $45$

ⅰ $15\times 11$ = $15\times (10+1)$ = $15\times 10+15$ = $150+15$ = $165$

$\frac{143+45}{165}$

ⓘ The numerator and the denominator are computed before the division: $143+45$ = $188$

▶Result:   $\frac{188}{165}$

The numeric value of: $\frac{188}{165}$ equals:

▷ $\approx 1.1394$