13/19-13/16

Let's evaluate: $\frac{13}{19}-\frac{13}{16}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $304$, the least common multiple of $19$ and $16$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{13}{19}-\frac{13}{16}$ = $\frac{13\times 16}{19\times 16}-\frac{13\times 19}{16\times 19}$ = $\frac{13\times 16-13\times 19}{19\times 16}$

$\frac{13\times 16-13\times 19}{19\times 16}$

ⓘ Perform multiplications before additions and subtractions: $13\times 16$ = $(10+3)\times 16$ = $10\times 16+3\times 16$ = $160+48$ = $208$, $13\times 19$ = $(10+3)\times 19$ = $10\times 19+3\times 19$ = $190+57$ = $247$

ⅰ $19\times 16$ = $19\times (10+6)$ = $19\times 10+19\times 6$ = $190+114$ = $304$

$\frac{208-247}{304}$

ⓘ Calculate the numerator and denominator before dividing: $208-247$ = $-39$

▶Result:   $-\frac{39}{304}$

The numeric value of: $-\frac{39}{304}$ is:

▷ $\approx -0.1283$