6th Grade Math Worksheets | Printable PDF Worksheets - Free Printable

To solve this worksheet, we need to find three numbers in each grid that represent the same value. These numbers will be a fraction, a decimal, and a percent.

Here is the step-by-step solution for each of the 12 grids:

Grid 1 (Top Left)
* Look for equivalents of $\frac{3}{4}$.
* $\frac{3}{4} = 0.75$
* $0.75 = 75\%$
* Answer: $\frac{3}{4}$, $0.75$, $75\%$

Grid 2 (Top Middle)
* Look for equivalents of $\frac{1}{5}$.
* $\frac{1}{5} = 0.2$
* $0.2 = 20\%$
* Answer: $0.2$, $\frac{1}{5}$, $20\%$

Grid 3 (Top Right)
* Look for equivalents of $\frac{1}{4}$.
* $\frac{1}{4} = 0.25$
* $0.25 = 25\%$
* Answer: $0.25$, $25\%$, $\frac{1}{4}$

Grid 4 (Second Row, Left)
* Look for equivalents of $\frac{7}{10}$.
* $\frac{7}{10} = 0.7$
* $0.7 = 70\%$
* Answer: $\frac{7}{10}$, $70\%$, $0.7$

Grid 5 (Second Row, Middle)
* Look for equivalents of $\frac{1}{2}$.
* $\frac{1}{2} = 0.5$
* $0.5 = 50\%$
* Answer: $0.5$, $\frac{1}{2}$, $50\%$

Grid 6 (Second Row, Right)
* Look for equivalents of $\frac{55}{100}$.
* $\frac{55}{100} = 0.55$ (Note: The decimal 0.51 in the grid is likely a typo for 0.55).
* $\frac{55}{100} = 55\%$
* Answer: $\frac{55}{100}$, $55\%$, $0.51$ (assuming typo)

Grid 7 (Third Row, Left)
* Look for equivalents of $\frac{1}{4}$.
* $\frac{1}{4} = \frac{25}{100} = 0.25$
* Wait, let's look closer. We have $\frac{44}{100}$, $0.44$, and $44\%$? No, there is no $44\%$.
* Let's check $\frac{1}{4}$. $\frac{1}{4} = 0.25$. There is $25\%$. Is there a $0.25$? No.
* Let's check $\frac{2}{5}$. $\frac{2}{5} = 0.4$. There is $0.4$. Is there $40\%$? Yes.
* Answer: $0.4$, $\frac{2}{5}$, $40\%$

Grid 8 (Third Row, Middle)
* Look for equivalents of $\frac{3}{5}$.
* $\frac{3}{5} = 0.6$
* $0.6 = 60\%$
* Answer: $\frac{3}{5}$, $0.6$, $60\%$

Grid 9 (Third Row, Right)
* Look for equivalents of $\frac{1}{10}$.
* $\frac{1}{10} = 0.1$
* $0.1 = 10\%$
* Answer: $\frac{1}{10}$, $10\%$, $0.01$ (Note: $0.01$ is actually $1\%$, so this grid contains a typo. The intended answer is likely $\frac{1}{10}$, $10\%$, and the box labeled $0.01$ should have been $0.1$. However, based on standard matching, $\frac{1}{10}$ and $10\%$ are the clear pair. If forced to pick three, it's likely the typo box). *Correction*: Looking at the other options, $\frac{11}{100}$, $11\%$, and... no decimal match. $\frac{1}{100}$, $1\%$, $0.01$. This is a valid set!
* Revised Answer: $\frac{1}{100}$, $1\%$, $0.01$

Grid 10 (Bottom Left)
* Look for equivalents of $\frac{4}{5}$.
* $\frac{4}{5} = 0.8$
* $0.8 = 80\%$
* Answer: $\frac{4}{5}$, $0.8$, $80\%$

Grid 11 (Bottom Middle)
* Look for equivalents of $\frac{1}{3}$.
* $\frac{1}{3} = 0.333...$ ($0.\dot{3}$)
* $\frac{1}{3} = 33\frac{1}{3}\%$
* Answer: $0.\dot{3}$, $33\frac{1}{3}\%$, $\frac{1}{3}$

Grid 12 (Bottom Right)
* Look for equivalents of $\frac{1}{20}$.
* $\frac{1}{20} = \frac{5}{100} = 0.05$
* $0.05 = 5\%$
* Answer: $\frac{1}{20}$, $0.05$, $5\%$

Final Answer:
Row 1:
1. $\frac{3}{4}, 0.75, 75\%$
2. $0.2, \frac{1}{5}, 20\%$
3. $0.25, 25\%, \frac{1}{4}$

Row 2:
4. $\frac{7}{10}, 70\%, 0.7$
5. $0.5, \frac{1}{2}, 50\%$
6. $\frac{55}{100}, 55\%, 0.51$ *(Note: 0.51 is likely a typo for 0.55)*

Row 3:
7. $0.4, \frac{2}{5}, 40\%$
8. $\frac{3}{5}, 0.6, 60\%$
9. $\frac{1}{100}, 1\%, 0.01$

Row 4:
10. $\frac{4}{5}, 0.8, 80\%$
11. $0.\dot{3}, 33\frac{1}{3}\%, \frac{1}{3}$
12. $\frac{1}{20}, 0.05, 5\%$