2/9+7/16

Let's evaluate: $\frac{2}{9}+\frac{7}{16}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $144$, the least common multiple of $9$ and $16$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{2}{9}+\frac{7}{16}$ = $\frac{2\times 16}{9\times 16}+\frac{7\times 9}{16\times 9}$ = $\frac{2\times 16+7\times 9}{9\times 16}$

$\frac{2\times 16+7\times 9}{9\times 16}$

ⓘ Multiplications are done before additions and subtractions: $2\times 16$ = $2\times (10+6)$ = $2\times 10+2\times 6$ = $20+12$ = $32$, $7\times 9$ = $63$

ⅰ $9\times 16$ = $9\times (10+6)$ = $9\times 10+9\times 6$ = $90+54$ = $144$

$\frac{32+63}{144}$

ⓘ The numerator and the denominator are computed before the division: $32+63$ = $95$

▶Result:   $\frac{95}{144}$

The numeric value of: $\frac{95}{144}$ equals:

▷ $\approx 0.6597$