1/4+9/14

Let's evaluate: $\frac{1}{4}+\frac{9}{14}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $28$, the least common multiple of $4$ and $14$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{1}{4}+\frac{9}{14}$ = $\frac{1\times 7}{4\times 7}+\frac{9\times 2}{14\times 2}$ = $\frac{1\times 7+9\times 2}{4\times 7}$ = $\frac{7+9\times 2}{4\times 7}$

$\frac{7+9\times 2}{4\times 7}$

ⓘ Multiplications are done before additions and subtractions: $9\times 2$ = $18$

ⅰ $4\times 7$ = $28$

$\frac{7+18}{28}$

ⓘ The numerator and the denominator are computed before the division: $7+18$ = $25$

▶Result:   $\frac{25}{28}$

The numeric value of: $\frac{25}{28}$ is:

▷ $\approx 0.8929$