Question

simplify to lowest terms.
\\(\frac{18}{30} = \frac{3}{?}\\)

Explanation:

Step1: Find GCD of 18 and 30

GCD(18,30) = 6. Divide numerator and denominator of $\frac{18}{30}$ by 6: $\frac{18\div6}{30\div6}=\frac{3}{5}$. Alternatively, since $18\div x = 3$, solve for $x$: $x = 18\div3 = 6$. Then $30\div6 = 5$.

Step2: Verify the simplified fraction

Check if $\frac{3}{5}$ is in lowest terms (GCD(3,5)=1), so it's simplified.

Answer:

5