Math worksheet for practicing equivalent fractions, decimals, and percentages.

To solve this worksheet, we need to find groups of three numbers in each grid that represent the same value. These numbers can be fractions, decimals, or percentages.

Here is the step-by-step logic for finding the matching sets:

Grid 1 (Top Left)
* Look at $\frac{1}{4}$. To turn a fraction into a decimal, divide the top by the bottom: $1 \div 4 = 0.25$.
* To turn that decimal into a percent, multiply by 100: $0.25 \times 100 = 25\%$.
* Match: $\frac{1}{4}$, $0.25$, and $25\%$.

Grid 2 (Top Middle)
* Look at $0.5$. This is the same as $\frac{5}{10}$, which simplifies to $\frac{1}{2}$.
* $0.5$ as a percent is $50\%$.
* Match: $0.5$, $\frac{1}{2}$, and $50\%$.

Grid 3 (Top Right)
* Look at $\frac{3}{4}$. $3 \div 4 = 0.75$.
* $0.75$ as a percent is $75\%$.
* Match: $\frac{3}{4}$, $0.75$, and $75\%$.

Grid 4 (Second Row, Left)
* Look at $\frac{1}{10}$. $1 \div 10 = 0.1$.
* $0.1$ as a percent is $10\%$.
* Match: $\frac{1}{10}$, $0.1$, and $10\%$.

Grid 5 (Second Row, Middle)
* Look at $0.3$. This is $\frac{3}{10}$.
* $0.3$ as a percent is $30\%$.
* Match: $0.3$, $\frac{3}{10}$, and $30\%$.

Grid 6 (Second Row, Right)
* Look at $\frac{7}{10}$. $7 \div 10 = 0.7$.
* $0.7$ as a percent is $70\%$.
* Match: $\frac{7}{10}$, $0.7$, and $70\%$.

Grid 7 (Third Row, Left)
* Look at $\frac{9}{10}$. $9 \div 10 = 0.9$.
* $0.9$ as a percent is $90\%$.
* Match: $\frac{9}{10}$, $0.9$, and $90\%$.

Grid 8 (Third Row, Middle)
* Look at $\frac{1}{100}$. $1 \div 100 = 0.01$.
* $0.01$ as a percent is $1\%$.
* Match: $\frac{1}{100}$, $0.01$, and $1\%$.

Grid 9 (Third Row, Right)
* Look at $\frac{4}{10}$. This simplifies to $\frac{2}{5}$, but let's look for decimals first. $\frac{4}{10} = 0.4$.
* Wait, looking at the options: We have $\frac{44}{100}$, $4\%$, $\frac{4}{100}$, $0.04$, $0.4$.
* Let's check $\frac{44}{100}$. This equals $0.44$ or $44\%$. That doesn't match the others well.
* Let's check $\frac{4}{10}$. This is $0.4$. Is there a $40\%$? No.
* Let's re-examine Grid 9 carefully.
* Values: $\frac{4}{10}$, $4\%$, $\frac{44}{100}$, $\frac{4}{100}$, $0.04$, $0.4$.
* $\frac{4}{10} = 0.4$.
* $\frac{4}{100} = 0.04$.
* $0.04 = 4\%$.
* So, $\frac{4}{100}$, $0.04$, and $4\%$ are all equivalent.
* Match: $\frac{4}{100}$, $0.04$, and $4\%$.

Grid 10 (Bottom Left)
* Look at $\frac{1}{5}$. $1 \div 5 = 0.2$.
* $0.2$ as a percent is $20\%$.
* Also, $\frac{2}{100}$ is $0.02$, which is $2\%$. That's not it.
* Wait, let's look at $\frac{2}{100}$ vs $\frac{1}{5}$.
* $\frac{1}{5} = \frac{20}{100} = 20\% = 0.2$.
* The box has $\frac{2}{100}$? No, looking closely at the image for Grid 10 (bottom left):
* Top row: $\frac{1}{5}$, $20\%$, $\frac{2}{100}$
* Bottom row: $0.02$, $\frac{2}{5}$, $0.2$
* Let's check equivalents for $\frac{1}{5}$:
* $\frac{1}{5} = 0.2$.
* $0.2 = 20\%$.
* So the match is $\frac{1}{5}$, $20\%$, and $0.2$.

Grid 11 (Bottom Middle)
* Values: $40\%$, $44\%$, $\frac{2}{5}$, $0.4$, $0.04$, $\frac{1}{40}$.
* Convert $\frac{2}{5}$: $2 \div 5 = 0.4$.
* $0.4$ as a percent is $40\%$.
* Match: $\frac{2}{5}$, $0.4$, and $40\%$.

Grid 12 (Bottom Right)
* Values: $\frac{3}{5}$, $0.6$, $\frac{1}{6}$, $0.06$, $60\%$, $16\%$.
* Convert $\frac{3}{5}$: $3 \div 5 = 0.6$.
* $0.6$ as a percent is $60\%$.
* Match: $\frac{3}{5}$, $0.6$, and $60\%$.

Final Answer:
Here are the three equivalent values you should color in for each grid:

1. $\frac{1}{4}$, $0.25$, $25\%$
2. $0.5$, $\frac{1}{2}$, $50\%$
3. $\frac{3}{4}$, $0.75$, $75\%$
4. $\frac{1}{10}$, $0.1$, $10\%$
5. $0.3$, $\frac{3}{10}$, $30\%$
6. $\frac{7}{10}$, $0.7$, $70\%$
7. $\frac{9}{10}$, $0.9$, $90\%$
8. $\frac{1}{100}$, $0.01$, $1\%$
9. $\frac{4}{100}$, $0.04$, $4\%$
10. $\frac{1}{5}$, $20\%$, $0.2$
11. $\frac{2}{5}$, $0.4$, $40\%$
12. $\frac{3}{5}$, $0.6$, $60\%$