10/13+4/15

Let's calculate: $\frac{10}{13}+\frac{4}{15}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $195$, the least common multiple of $13$ and $15$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{10}{13}+\frac{4}{15}$ = $\frac{10\times 15}{13\times 15}+\frac{4\times 13}{15\times 13}$ = $\frac{10\times 15+4\times 13}{13\times 15}$

$\frac{10\times 15+4\times 13}{13\times 15}$

ⓘ Multiplications are done before additions and subtractions: $10\times 15$ = $10\times (10+5)$ = $10\times 10+10\times 5$ = $100+50$ = $150$, $4\times 13$ = $4\times (10+3)$ = $4\times 10+4\times 3$ = $40+12$ = $52$

ⅰ $13\times 15$ = $(10+3)\times 15$ = $10\times 15+3\times 15$ = $150+45$ = $195$

$\frac{150+52}{195}$

ⓘ The numerator and the denominator are computed before the division: $150+52$ = $202$

▶Result:   $\frac{202}{195}$

The numeric value of: $\frac{202}{195}$ equals:

▷ $\approx 1.0359$