3/4-13/14

Let's calculate: $\frac{3}{4}-\frac{13}{14}$

ⓘ 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: $\frac{3}{4}-\frac{13}{14}$ = $\frac{3\times 7}{4\times 7}-\frac{13\times 2}{14\times 2}$ = $\frac{3\times 7-13\times 2}{4\times 7}$

$\frac{3\times 7-13\times 2}{4\times 7}$

ⓘ Perform multiplications before additions and subtractions: $3\times 7$ = $21$, $13\times 2$ = $(10+3)\times 2$ = $10\times 2+3\times 2$ = $20+6$ = $26$

ⅰ $4\times 7$ = $28$

$\frac{21-26}{28}$

ⓘ Calculate the numerator and denominator before dividing: $21-26$ = $-5$

▶Result:   $-\frac{5}{28}$

The numeric value of: $-\frac{5}{28}$ equals:

▷ $\approx -0.1786$