if one light gray hexagon is worth one whole,what fractional part of the hexagon is one black triangle. what fractional part of the hexagon is one dark gray rhombus.
what is the total sum off all the pattern blocks.
To determine the fractional part of the hexagon represented by each pattern block, we need to consider the relative sizes of the blocks.
1. If one light gray hexagon is worth one whole, then the fractional part of one black triangle can be found by comparing its size to the hexagon.
To do this, we need to observe that the black triangle occupies half of the light gray hexagon. Therefore, one black triangle is equivalent to **1/2** of the hexagon.
2. Similarly, to find the fractional part of the hexagon represented by one dark gray rhombus, we need to compare its size to the hexagon.
Upon observing the pattern, we can determine that it takes two dark gray rhombi to cover one hexagon. Thus, one dark gray rhombus is equal to **1/2** of the hexagon.
3. Finally, to find the total sum of all the pattern blocks, we need to add up the fractional parts of each block.
Considering all the pattern blocks together, we have:
- One light gray hexagon: **1 whole** (equivalent to **1/1**)
- One black triangle: **1/2**
- One dark gray rhombus: **1/2**
Adding these fractions together, we get:
1/1 + 1/2 + 1/2 = 2/2 + 1/2 + 1/2 = 4/2 = 2
Hence, the total sum of all the pattern blocks is **2**.