5/14+9/20

Let's evaluate: $\frac{5}{14}+\frac{9}{20}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $140$, the least common multiple of $14$ and $20$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{5}{14}+\frac{9}{20}$ = $\frac{5\times 10}{14\times 10}+\frac{9\times 7}{20\times 7}$ = $\frac{5\times 10+9\times 7}{14\times 10}$

$\frac{5\times 10+9\times 7}{14\times 10}$

ⓘ Perform multiplications before additions and subtractions: $5\times 10$ = $50$, $9\times 7$ = $63$

ⅰ $14\times 10$ = $(10+4)\times 10$ = $10\times 10+4\times 10$ = $100+40$ = $140$

$\frac{50+63}{140}$

ⓘ The numerator and the denominator are computed before the division: $50+63$ = $113$

▶Result:   $\frac{113}{140}$

The numeric value of: $\frac{113}{140}$ equals:

▷ $\approx 0.8071$