Math worksheet for converting fractions to decimals using 100-grid models.

Explanation:
We are given 6 grids, each made of 100 small squares (10 × 10). The shaded part shows a fraction of the whole grid. Since the whole grid is 100 squares, the number of shaded squares = numerator, and denominator is always 100.

Let’s count shaded squares in each grid:

1. Top-left (green): Only the first column is shaded → 10 squares.
So: $ \frac{10}{100} = 0.10 $ or just 0.1

2. Top-middle (orange): First column (10) + second column (10) + 3 more in third column = 10 + 10 + 3 = 23
So: $ \frac{23}{100} = 0.23 $

3. Top-right (red): Full left 8 columns = 8 × 10 = 80, plus 7 squares in the 9th column → 80 + 7 = 87
So: $ \frac{87}{100} = 0.87 $

4. Bottom-left (blue): First column, but only top 5 squares shaded → 5
So: $ \frac{5}{100} = 0.05 $

5. Bottom-middle (yellow): Full left 7 columns = 70, plus 9 squares in 8th column = 70 + 9 = 79
So: $ \frac{79}{100} = 0.79 $

6. Bottom-right (purple): Only 1 square shaded (top-left corner) → 1
So: $ \frac{1}{100} = 0.01 $

Now the conversion section:

- $ \frac{4}{10} $: Since $ \frac{4}{10} = \frac{40}{100} $, that’s 0.4
- $ \frac{?}{10} = 0.8 $: Multiply both sides by 10 → numerator = 0.8 × 10 = 8, so $ \frac{8}{10} $
- $ \frac{7}{100} = $ 0.07
- $ \frac{?}{100} = 0.75 $: Multiply both sides by 100 → numerator = 0.75 × 100 = 75, so $ \frac{75}{100} $

Let me double-check all counts:

- Green: column 1 only → 10 ✔️
- Orange: 2 full columns (20) + 3 in next = 23 ✔️
- Red: 8 full columns = 80, plus 7 in 9th = 87 ✔️
- Blue: only 5 in first column = 5 ✔️
- Yellow: 7 full = 70, +9 = 79 ✔️
- Purple: 1 square = 1 ✔️

Conversions:
- $ \frac{4}{10} = 0.4 $ ✔️
- $ 0.8 = \frac{8}{10} $ ✔️
- $ \frac{7}{100} = 0.07 $ ✔️
- $ 0.75 = \frac{75}{100} $ ✔️

All correct.

Final Answer:
10/100 = 0.1
23/100 = 0.23
87/100 = 0.87
5/100 = 0.05
79/100 = 0.79
1/100 = 0.01
4/10 = 0.4
8/10 = 0.8
7/100 = 0.07
75/100 = 0.75