15/16+8/19

Let's calculate: $\frac{15}{16}+\frac{8}{19}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $304$, the least common multiple of $16$ and $19$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{15}{16}+\frac{8}{19}$ = $\frac{15\times 19}{16\times 19}+\frac{8\times 16}{19\times 16}$ = $\frac{15\times 19+8\times 16}{16\times 19}$

$\frac{15\times 19+8\times 16}{16\times 19}$

ⓘ Multiplications are done before additions and subtractions: $15\times 19$ = $(10+5)\times 19$ = $10\times 19+5\times 19$ = $190+95$ = $285$, $8\times 16$ = $8\times (10+6)$ = $8\times 10+8\times 6$ = $80+48$ = $128$

ⅰ $16\times 19$ = $(10+6)\times 19$ = $10\times 19+6\times 19$ = $190+114$ = $304$

$\frac{285+128}{304}$

ⓘ Calculate the numerator and denominator before dividing: $285+128$ = $413$

▶Result:   $\frac{413}{304}$

The numeric value of: $\frac{413}{304}$ is:

▷ $\approx 1.3586$