11/19+10/17

Let's evaluate: $\frac{11}{19}+\frac{10}{17}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $323$, the least common multiple of $19$ and $17$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{11}{19}+\frac{10}{17}$ = $\frac{11\times 17}{19\times 17}+\frac{10\times 19}{17\times 19}$ = $\frac{11\times 17+10\times 19}{19\times 17}$

$\frac{11\times 17+10\times 19}{19\times 17}$

ⓘ Perform multiplications before additions and subtractions: $11\times 17$ = $(10+1)\times 17$ = $10\times 17+17$ = $170+17$ = $187$, $10\times 19$ = $10\times (10+9)$ = $10\times 10+10\times 9$ = $100+90$ = $190$

ⅰ $19\times 17$ = $19\times (10+7)$ = $19\times 10+19\times 7$ = $190+133$ = $323$

$\frac{187+190}{323}$

ⓘ The numerator and the denominator are computed before the division: $187+190$ = $377$

▶Result:   $\frac{377}{323}$

The numeric value of: $\frac{377}{323}$ is:

▷ $\approx 1.1672$