2/3+7/13

Let's evaluate: $\frac{2}{3}+\frac{7}{13}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $39$, the least common multiple of $3$ and $13$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{2}{3}+\frac{7}{13}$ = $\frac{2\times 13}{3\times 13}+\frac{7\times 3}{13\times 3}$ = $\frac{2\times 13+7\times 3}{3\times 13}$

$\frac{2\times 13+7\times 3}{3\times 13}$

ⓘ Multiplications are done before additions and subtractions: $2\times 13$ = $2\times (10+3)$ = $2\times 10+2\times 3$ = $20+6$ = $26$, $7\times 3$ = $21$

ⅰ $3\times 13$ = $3\times (10+3)$ = $3\times 10+3\times 3$ = $30+9$ = $39$

$\frac{26+21}{39}$

ⓘ The numerator and the denominator are computed before the division: $26+21$ = $47$

▶Result:   $\frac{47}{39}$

The numeric value of: $\frac{47}{39}$ is:

▷ $\approx 1.2051$