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

Final Answer:
The three equivalent values in each grid are:
1. $\frac{7}{10}$, $0.75$, $75\%$
2. $0.25$, $\frac{1}{4}$, $25\%$
3. $0.5$, $\frac{1}{2}$, $50\%$
4. $\frac{4}{100}$, $0.04$, $4\%$ → but wait — looking carefully, the correct matching sets are:

Actually, let’s identify *each grid’s* correct triple (3 boxes that are equal):

Grid 1 (top-left):
- $\frac{7}{10} = 0.7 = 70\%$? No — but in that grid, we have:
- $\frac{7}{10} = 0.7$, but 0.75 and 75% are there too.
Wait — re-express all values numerically:

Let me convert every value to decimal to find matches:

Grid 1 (first 3×3):
Row1: $\frac{7}{10}=0.7$, 25%=0.25, $\frac{3}{4}=0.75$
Row2: 0.75, 7%=0.07, 73%=0.73
Row3: 75%=0.75, 0.25, $\frac{1}{7}≈0.1429$

→ Here, 0.75, 75%, and $\frac{3}{4}$ are all 0.75. ✔
So triple: $\frac{3}{4}$, 0.75, 75%

Grid 2 (top-middle):
0.2, $\frac{1}{2}=0.5$, 2%=0.02
0.15, $\frac{1}{5}=0.2$, 22%=0.22
5%=0.05, 0.5, 20%=0.2
→ Look: 0.2, $\frac{1}{5}=0.2$, and 20%=0.2 → YES!
Triple: 0.2, $\frac{1}{5}$, 20%

Grid 3 (top-right):
$\frac{1}{7}≈0.1429$, 40%=0.4, $\frac{3}{4}=0.75$
0.25, $\frac{4}{10}=0.4$, 25%=0.25
$\frac{44}{100}=0.44$, 0.52, $\frac{1}{4}=0.25$
→ Here: 0.25, 25%, and $\frac{1}{4}$ all = 0.25 ✔
Triple: 0.25, 25%, $\frac{1}{4}$

Grid 4 (middle-left):
$\frac{7}{10}=0.7$, 77%=0.77, $\frac{7}{100}=0.07$
0.75, 7%=0.07, 70%=0.7
75%=0.75, 0.7, $\frac{1}{7}≈0.1429$
→ Match: $\frac{7}{10}=0.7$, 70%=0.7, and 0.7 → YES
Triple: $\frac{7}{10}$, 0.7, 70%

Grid 5 (middle-center):
0.25, 0.025, $\frac{1}{2}\%=0.005$
0.15, $\frac{2}{5}=0.4$, 50%=0.5
$\frac{1}{2}=0.5$, 0.5, 20%=0.2
→ Wait: 0.5, $\frac{1}{2}$, and 50% are all 0.5 ✔
But 50% is in row2 col3, 0.5 is row3 col3, $\frac{1}{2}$ is row3 col1 — yes, all present.
Triple: 0.5, $\frac{1}{2}$, 50%

Grid 6 (middle-right):
$\frac{5}{15}=\frac{1}{3}≈0.333$, 15%=0.15, $\frac{55}{100}=0.55$
0.15, $\frac{1}{15}≈0.0667$, 55%=0.55
$\frac{15}{100}=0.15$, 0.51, $\frac{1}{5}=0.2$
→ Match: 0.15, 15%, and $\frac{15}{100}$ all = 0.15 ✔
Triple: 0.15, 15%, $\frac{15}{100}$

Grid 7 (bottom-left):
$\frac{4}{100}=0.04$, 25%=0.25, $\frac{3}{4}=0.75$
0.4, $\frac{2}{5}=0.4$, 40%=0.4
$\frac{44}{100}=0.44$, 0.44, $\frac{1}{4}=0.25$
→ Match: 0.4, $\frac{2}{5}$, 40% ✔
Triple: 0.4, $\frac{2}{5}$, 40%

Grid 8 (bottom-center):
$\frac{6}{100}=0.06$, 16%=0.16, $\frac{3}{5}=0.6$
0.66, 6%=0.06, 66%=0.66
60%=0.6, 0.6, $\frac{2}{3}≈0.666$
→ Match: 0.66, 66%, and $\frac{2}{3}$? No — $\frac{2}{3}≈0.6667$, close but not exact. But 0.66 and 66% match exactly. Is there a third?
Wait: $\frac{6}{100}=0.06$, 6%=0.06 — that’s two. Third? Not in same grid? Hmm.

Actually, look again:
Row1: 6/100 = 0.06, 16% = 0.16, 3/5 = 0.6
Row2: 0.66, 6% = 0.06, 66% = 0.66
Row3: 60% = 0.6, 0.6, 2/3 ≈ 0.666...

So:
- 0.66 and 66% match → need third: none exact unless 2/3 is accepted as ≈0.66, but typically in such worksheets, they use exact equivalents.

Better: 0.6, 60%, and $\frac{3}{5}=0.6$ → yes! All in grid:
$\frac{3}{5}=0.6$, 60%=0.6, 0.6 → all present (row1 col3, row3 col1, row3 col2) ✔
Triple: $\frac{3}{5}$, 0.6, 60%

Grid 9 (bottom-right):
$\frac{1}{10}=0.1$, 1%=0.01, $\frac{11}{100}=0.11$
0.1%=0.001, 0.01, 11%=0.11
$\frac{1}{100}=0.01$, 10%=0.1, 1.1
→ Match: 0.01, 1%, and $\frac{1}{100}$ all = 0.01 ✔
Triple: 0.01, 1%, $\frac{1}{100}$

Grid 10 (last left):
$\frac{8}{10}=0.8$, 80%=0.8, $\frac{3}{4}=0.75$
0.8, $\frac{4}{5}=0.8$, 8.8%=0.088
$\frac{8}{100}=0.08$, 0.08, $\frac{1}{8}=0.125$
→ Match: $\frac{8}{10}=0.8$, 80%=0.8, 0.8 → and $\frac{4}{5}=0.8$ also — four values, but need 3. So pick any 3: e.g., $\frac{8}{10}$, 0.8, 80%

Grid 11 (last center):
$0.\overline{3}=1/3≈0.333$, $33\frac{1}{3}\%=1/3$, $\frac{33}{100}=0.33$
0.03, 0.3, 33%=0.33
$\frac{30}{100}=0.3$, 3%, $\frac{1}{3}≈0.333$
→ Exact match: $0.\overline{3}$, $33\frac{1}{3}\%$, and $\frac{1}{3}$ — but $\frac{1}{3}$ not listed; however, $\frac{30}{100}=0.3$ ≠ 0.333.
Wait: 0.3, 30%, and $\frac{3}{10}$ — but $\frac{3}{10}$ not here.
Actually: 0.3, $\frac{30}{100}=0.3$, and 30% — yes! 30% = 0.3, $\frac{30}{100}=0.3$, 0.3 → all present (row3 col1, row3 col2, row2 col2?) Row2 col2 is 0.3, row3 col1 is 30/100, row3 col2 is 3% — no.

Let’s list:
Row1: 0.̅3, 33⅓%, 33/100=0.33
Row2: 0.03, 0.3, 33%=0.33
Row3: 30/100=0.3, 3%, 1/3≈0.333

So: 0.3, 30/100, and ? 30% is not listed — but 3% is 0.03. Hmm.

Actually, standard equivalence:
$0.\overline{3} = \frac{1}{3} = 33\frac{1}{3}\%$ — and all three appear:
- $0.\overline{3}$ (row1 col1)
- $33\frac{1}{3}\%$ (row1 col2)
- $\frac{1}{3}$ is not written, but row3 col3 is $\frac{1}{3}$ — yes! In grid 11, bottom right is $\frac{1}{3}$. ✔
So triple: $0.\overline{3}$, $33\frac{1}{3}\%$, $\frac{1}{3}$

Grid 12 (last right):
$\frac{1}{20}=0.05$, 0.05, $\frac{1}{5}=0.2$
0.02, 20%=0.2, 0.2% = 0.002
5%=0.05, 0.5, $\frac{2}{100}=0.02$
→ Match: $\frac{1}{20}=0.05$, 0.05, and 5% = 0.05 ✔
Triple: $\frac{1}{20}$, 0.05, 5%

So the 12 correct triples are:

1. $\frac{3}{4}$, 0.75, 75%
2. 0.2, $\frac{1}{5}$, 20%
3. 0.25, 25%, $\frac{1}{4}$
4. $\frac{7}{10}$, 0.7, 70%
5. 0.5, $\frac{1}{2}$, 50%
6. 0.15, 15%, $\frac{15}{100}$
7. 0.4, $\frac{2}{5}$, 40%
8. $\frac{3}{5}$, 0.6, 60%
9. 0.01, 1%, $\frac{1}{100}$
10. $\frac{8}{10}$, 0.8, 80%
11. $0.\overline{3}$, $33\frac{1}{3}\%$, $\frac{1}{3}$
12. $\frac{1}{20}$, 0.05, 5%

Since the instruction is “Color three boxes in each grid which show a fraction, decimal, and percentage that are all equivalent”, and there are 12 grids, the answer is the 12 triples above.

But the user asks for *the* final answer — likely expecting the list of equivalent sets.

However, per instructions: “Provide only the final correct answer.” And since it's a coloring task with multiple grids, the expected output is the identification of the three equivalent values in each grid.

Given format constraints, and that only Final Answer section is required (others false), I will list each grid’s triple concisely:

Grid 1: $\frac{3}{4},\ 0.75,\ 75\%$
Grid 2: $0.2,\ \frac{1}{5},\ 20\%$
Grid 3: $0.25,\ 25\%,\ \frac{1}{4}$
Grid 4: $\frac{7}{10},\ 0.7,\ 70\%$
Grid 5: $0.5,\ \frac{1}{2},\ 50\%$
Grid 6: $0.15,\ 15\%,\ \frac{15}{100}$
Grid 7: $0.4,\ \frac{2}{5},\ 40\%$
Grid 8: $\frac{3}{5},\ 0.6,\ 60\%$
Grid 9: $0.01,\ 1\%,\ \frac{1}{100}$
Grid 10: $\frac{8}{10},\ 0.8,\ 80\%$
Grid 11: $0.\overline{3},\ 33\frac{1}{3}\%,\ \frac{1}{3}$
Grid 12: $\frac{1}{20},\ 0.05,\ 5\%$

But to strictly follow “only the final correct answer” and keep it compact:

Final Answer:
1. $\frac{3}{4}, 0.75, 75\%$
2. $0.2, \frac{1}{5}, 20\%$
3. $0.25, 25\%, \frac{1}{4}$
4. $\frac{7}{10}, 0.7, 70\%$
5. $0.5, \frac{1}{2}, 50\%$
6. $0.15, 15\%, \frac{15}{100}$
7. $0.4, \frac{2}{5}, 40\%$
8. $\frac{3}{5}, 0.6, 60\%$
9. $0.01, 1\%, \frac{1}{100}$
10. $\frac{8}{10}, 0.8, 80\%$
11. $0.\overline{3}, 33\frac{1}{3}\%, \frac{1}{3}$
12. $\frac{1}{20}, 0.05, 5\%$