5/6+7/19

Let's calculate: $\frac{5}{6}+\frac{7}{19}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $114$, the least common multiple of $6$ and $19$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{5}{6}+\frac{7}{19}$ = $\frac{5\times 19}{6\times 19}+\frac{7\times 6}{19\times 6}$ = $\frac{5\times 19+7\times 6}{6\times 19}$

$\frac{5\times 19+7\times 6}{6\times 19}$

ⓘ Perform multiplications before additions and subtractions: $5\times 19$ = $5\times (10+9)$ = $5\times 10+5\times 9$ = $50+45$ = $95$, $7\times 6$ = $42$

ⅰ $6\times 19$ = $6\times (10+9)$ = $6\times 10+6\times 9$ = $60+54$ = $114$

$\frac{95+42}{114}$

ⓘ Calculate the numerator and denominator before dividing: $95+42$ = $137$

▶Result:   $\frac{137}{114}$

The numeric value of: $\frac{137}{114}$ equals:

▷ $\approx 1.2018$