4/5-5/13

Let's calculate: $\frac{4}{5}-\frac{5}{13}$

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose $65$, the least common multiple of $5$ and $13$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{4}{5}-\frac{5}{13}$ = $\frac{4\times 13}{5\times 13}-\frac{5\times 5}{13\times 5}$ = $\frac{4\times 13-5\times 5}{5\times 13}$

$\frac{4\times 13-5\times 5}{5\times 13}$

ⓘ Perform multiplications before additions and subtractions: $4\times 13$ = $4\times (10+3)$ = $4\times 10+4\times 3$ = $40+12$ = $52$, $5\times 5$ = $25$

ⅰ $5\times 13$ = $5\times (10+3)$ = $5\times 10+5\times 3$ = $50+15$ = $65$

$\frac{52-25}{65}$

ⓘ Calculate the numerator and denominator before dividing: $52-25$ = $27$

▶Result:   $\frac{27}{65}$

The numeric value of: $\frac{27}{65}$ equals:

▷ $\approx 0.4154$