11/16+8/15

Let's evaluate: $\frac{11}{16}+\frac{8}{15}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $240$, the least common multiple of $16$ and $15$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{11}{16}+\frac{8}{15}$ = $\frac{11\times 15}{16\times 15}+\frac{8\times 16}{15\times 16}$ = $\frac{11\times 15+8\times 16}{16\times 15}$

$\frac{11\times 15+8\times 16}{16\times 15}$

ⓘ Perform multiplications before additions and subtractions: $11\times 15$ = $(10+1)\times 15$ = $10\times 15+15$ = $150+15$ = $165$, $8\times 16$ = $8\times (10+6)$ = $8\times 10+8\times 6$ = $80+48$ = $128$

ⅰ $16\times 15$ = $16\times (10+5)$ = $16\times 10+16\times 5$ = $160+80$ = $240$

$\frac{165+128}{240}$

ⓘ The numerator and the denominator are computed before the division: $165+128$ = $293$

▶Result:   $\frac{293}{240}$

The numeric value of: $\frac{293}{240}$ equals:

▷ $\approx 1.2208$