3/14+15/17

Let's calculate: $\frac{3}{14}+\frac{15}{17}$

ⓘ 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: $\frac{3}{14}+\frac{15}{17}$ = $\frac{3\times 17}{14\times 17}+\frac{15\times 14}{17\times 14}$ = $\frac{3\times 17+15\times 14}{14\times 17}$

$\frac{3\times 17+15\times 14}{14\times 17}$

ⓘ Perform multiplications before additions and subtractions: $3\times 17$ = $3\times (10+7)$ = $3\times 10+3\times 7$ = $30+21$ = $51$, $15\times 14$ = $15\times (10+4)$ = $15\times 10+15\times 4$ = $150+60$ = $210$

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

$\frac{51+210}{238}$

ⓘ The numerator and the denominator are computed before the division: $51+210$ = $261$

▶Result:   $\frac{261}{238}$

The numeric value of: $\frac{261}{238}$ equals:

▷ $\approx 1.0966$