6/19+1/9

Let's evaluate: $\frac{6}{19}+\frac{1}{9}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $171$, the least common multiple of $19$ and $9$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{6}{19}+\frac{1}{9}$ = $\frac{6\times 9}{19\times 9}+\frac{1\times 19}{9\times 19}$ = $\frac{6\times 9+1\times 19}{19\times 9}$ = $\frac{6\times 9+19}{19\times 9}$

$\frac{6\times 9+19}{19\times 9}$

ⓘ Perform multiplications before additions and subtractions: $6\times 9$ = $54$

ⅰ $19\times 9$ = $(10+9)\times 9$ = $10\times 9+9\times 9$ = $90+81$ = $171$

$\frac{54+19}{171}$

ⓘ The numerator and the denominator are computed before the division: $54+19$ = $73$

▶Result:   $\frac{73}{171}$

The numeric value of: $\frac{73}{171}$ equals:

▷ $\approx 0.4269$