2/7+15/17

Let's calculate: $\frac{2}{7}+\frac{15}{17}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $119$, the least common multiple of $7$ and $17$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{2}{7}+\frac{15}{17}$ = $\frac{2\times 17}{7\times 17}+\frac{15\times 7}{17\times 7}$ = $\frac{2\times 17+15\times 7}{7\times 17}$

$\frac{2\times 17+15\times 7}{7\times 17}$

ⓘ Perform multiplications before additions and subtractions: $2\times 17$ = $2\times (10+7)$ = $2\times 10+2\times 7$ = $20+14$ = $34$, $15\times 7$ = $(10+5)\times 7$ = $10\times 7+5\times 7$ = $70+35$ = $105$

ⅰ $7\times 17$ = $7\times (10+7)$ = $7\times 10+7\times 7$ = $70+49$ = $119$

$\frac{34+105}{119}$

ⓘ Calculate the numerator and denominator before dividing: $34+105$ = $139$

▶Result:   $\frac{139}{119}$

The numeric value of: $\frac{139}{119}$ is:

▷ $\approx 1.1681$