Question

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

Explanation:

Step1: Find GCD of 18 and 30

The factors of 18 are \(1, 2, 3, 6, 9, 18\), and factors of 30 are \(1, 2, 3, 5, 6, 10, 15, 30\). The greatest common divisor (GCD) is 6.

Step2: Divide numerator and denominator by GCD

Divide 18 by 6: \(18\div6 = 3\). Divide 30 by 6: \(30\div6 = 5\). So \(\frac{18}{30}=\frac{3}{5}\).

Answer:

\(\frac{3}{5}\) (The numerator is 3 and the denominator is 5, so the box for the numerator should have 3 and the denominator box should have 5. If only the numerator is asked in the green box, then the answer is 3.)