Question

joels turn: from \\(\frac{8}{12}\\), joel throws the disc \\(\frac{6}{12}\\). compare where his disc lands to 1.\\(\frac{8}{12} + \frac{6}{12}\\) is ?

Explanation:

Step1: Add the numerators

Since the denominators are the same (\(12\)), we add the numerators: \(8 + 6 = 14\). So the fraction becomes \(\frac{14}{12}\).

Step2: Simplify the fraction

We can simplify \(\frac{14}{12}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(2\). So \(\frac{14\div2}{12\div2}=\frac{7}{6}\).

Step3: Compare with 1

We know that \(1=\frac{6}{6}\). Since \(\frac{7}{6}>\frac{6}{6}\), \(\frac{7}{6}>1\).

Answer:

\(\frac{8}{12}+\frac{6}{12}=\frac{14}{12}=\frac{7}{6}\), and \(\frac{7}{6}>1\)