19/20+10/17

Let's calculate: $\frac{19}{20}+\frac{10}{17}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $340$, the least common multiple of $20$ and $17$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{19}{20}+\frac{10}{17}$ = $\frac{19\times 17}{20\times 17}+\frac{10\times 20}{17\times 20}$ = $\frac{19\times 17+10\times 20}{20\times 17}$

$\frac{19\times 17+10\times 20}{20\times 17}$

ⓘ Multiplications are done before additions and subtractions: $19\times 17$ = $19\times (10+7)$ = $19\times 10+19\times 7$ = $190+133$ = $323$, $10\times 20$ = $200$

ⅰ $20\times 17$ = $20\times (10+7)$ = $20\times 10+20\times 7$ = $200+140$ = $340$

$\frac{323+200}{340}$

ⓘ Calculate the numerator and denominator before dividing: $323+200$ = $523$

▶Result:   $\frac{523}{340}$

The numeric value of: $\frac{523}{340}$ equals:

▷ $\approx 1.5382$