Question

-0.65 ÷ \\(\frac{-5}{4}\\)

Explanation:

Step1: Rewrite decimal as fraction

$-0.65 = -\frac{65}{100} = -\frac{13}{20}$

Step2: Replace division with reciprocal multiplication

$-\frac{13}{20} \div \frac{-5}{4} = -\frac{13}{20} \times \frac{4}{-5}$

Step3: Simplify and calculate

Cancel common factors: $4$ and $20$ reduce to $1$ and $5$. Multiply numerators and denominators:
$\frac{13 \times 1}{5 \times 5} = \frac{13}{25}$

Answer:

$\frac{13}{25}$ or $0.52$