Question

4 consider this fraction: \\(\frac{12}{21}\\) what is the gcf (number to divide numerator and denominator by in order to simplify)? simplified fraction (should be equivalent):

Explanation:

Step1: Find factors of 12 and 21

Factors of 12: \(1, 2, 3, 4, 6, 12\)
Factors of 21: \(1, 3, 7, 21\)

Step2: Identify GCF

Common factors: \(1, 3\). Greatest common factor is \(3\).

Step3: Simplify the fraction

Divide numerator and denominator by GCF (\(3\)):
\(\frac{12\div3}{21\div3} = \frac{4}{7}\)

Answer:

GCF: \(3\)
Simplified fraction: \(\frac{4}{7}\)