5/14+5/17

Let's calculate: $\frac{5}{14}+\frac{5}{17}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $238$, the least common multiple of $14$ and $17$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{5}{14}+\frac{5}{17}$ = $\frac{5\times 17}{14\times 17}+\frac{5\times 14}{17\times 14}$ = $\frac{5\times 17+5\times 14}{14\times 17}$

$\frac{5\times 17+5\times 14}{14\times 17}$

ⓘ Multiplications are done before additions and subtractions: $5\times 17$ = $5\times (10+7)$ = $5\times 10+5\times 7$ = $50+35$ = $85$, $5\times 14$ = $5\times (10+4)$ = $5\times 10+5\times 4$ = $50+20$ = $70$

ⅰ $14\times 17$ = $(10+4)\times 17$ = $10\times 17+4\times 17$ = $170+68$ = $238$

$\frac{85+70}{238}$

ⓘ The numerator and the denominator are computed before the division: $85+70$ = $155$

▶Result:   $\frac{155}{238}$

The numeric value of: $\frac{155}{238}$ is:

▷ $\approx 0.6513$