Question

1. what fraction of the hexagon below is shaded?

Explanation:

Step1: Determine the total number of equal - parts

The hexagon is divided into 6 equal - sized triangles. So, the total number of parts \(n = 6\).

Step2: Determine the number of shaded parts

The number of shaded triangles \(m=1\).

Step3: Calculate the fraction

The fraction of the shaded part is given by the formula \(\text{Fraction}=\frac{\text{Number of shaded parts}}{\text{Total number of parts}}\). Substituting \(m = 1\) and \(n = 6\) into the formula, we get \(\text{Fraction}=\frac{1}{6}\).

Answer:

\(\frac{1}{6}\)