13/20-6/13

Let's evaluate: $\frac{13}{20}-\frac{6}{13}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $260$, the least common multiple of $20$ and $13$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{13}{20}-\frac{6}{13}$ = $\frac{13\times 13}{20\times 13}-\frac{6\times 20}{13\times 20}$ = $\frac{13\times 13-6\times 20}{20\times 13}$

$\frac{13\times 13-6\times 20}{20\times 13}$

ⓘ Multiplications are done before additions and subtractions: $13\times 13$ = $(10+3)\times 13$ = $10\times 13+3\times 13$ = $130+39$ = $169$, $6\times 20$ = $120$

ⅰ $20\times 13$ = $20\times (10+3)$ = $20\times 10+20\times 3$ = $200+60$ = $260$

$\frac{169-120}{260}$

ⓘ Calculate the numerator and denominator before dividing: $169-120$ = $49$

▶Result:   $\frac{49}{260}$

The numeric value of: $\frac{49}{260}$ equals:

▷ $\approx 0.1885$