In the diagram shown, what is the ratio of shaded parts to unshaded parts?

Question

6 unshaded squares and 9 shaded squares.
For every 2 shaded parts there are 3 unshaded parts.
For every 9 shaded parts there are 2 unshaded parts.
For every 3 shaded parts there are 6 unshaded parts.
For every 3 shaded parts there are 2 unshaded parts.

Answer 1

To find the ratio of shaded parts to unshaded parts, we can analyze the information given.

1. Shaded Squares: 9
2. Unshaded Squares: 6

Now, we calculate the ratio of shaded parts to unshaded parts:

\[ \text{Ratio of shaded to unshaded} = \frac{\text{Number of shaded squares}}{\text{Number of unshaded squares}} = \frac{9}{6} \]

Now we simplify this fraction:

\[ \frac{9}{6} = \frac{3}{2} \]

Thus, the ratio of shaded parts to unshaded parts is:

\[ \boxed{\frac{3}{2}} \]

This means that for every 3 shaded squares, there are 2 unshaded squares.