Tic Tac Toe math worksheet for matching equivalent fractions, percentages, and decimals.

I'll work through this tic-tac-toe worksheet step by step, finding the matching fractions, percentages, and decimals in each box.

Let me go through each 3x3 grid:

Grid 1 (top left):
- 12/100 = 0.12 = 12% ✓ (these match)
- 63/100 = 0.63 = 63% ✓ (these match)
- 0.12 = 12/100 = 12% ✓ (same as first row)

So in Grid 1, we circle: 12/100, 0.63, 12%, 63/100, 63%, 0.12, 12/100, 12%

Wait, let me be more careful. I need to find which THREE values in each box are equivalent.

Grid 1:
Looking for matches:
- 12/100 = 0.12 = 12% → These three match!
- 63/100 = 0.63 = 63% → These three match!
- 0.12 = 12/100 = 12% → Already found above

So circle: 12/100, 0.63, 12%, 63/100, 63%, 0.12, 12/100, 12%

Actually, looking more carefully at the grid structure, each box has 9 items arranged in 3 rows × 3 columns. I need to find sets of 3 that are equivalent.

Let me redo this systematically:

Grid 1 (top-left):
Row 1: 12/100, 0.63, 12%
Row 2: 63/100, 63%, 63/100
Row 3: 0.12, 12/100, 12%

Matches:
- 12/100 = 0.12 = 12% (found in positions: row1-col1, row3-col1, row1-col3, row3-col2, row3-col3)
- 0.63 = 63/100 = 63% (found in positions: row1-col2, row2-col1, row2-col2, row2-col3)

Circle: 12/100, 0.12, 12%, 0.63, 63/100, 63%

Grid 2 (top-middle):
Row 1: 0.49, 99/100, 89/100
Row 2: 99/100, 99%, 49/100
Row 3: 0.89, 0.99, 99%

Checking:
- 0.49 = 49/100 ✓
- 99/100 = 0.99 = 99% ✓
- 89/100 = 0.89 ✓

Circle: 0.49, 49/100, 99/100, 0.99, 99%, 89/100, 0.89

Grid 3 (top-right):
Row 1: 0.74, 39/100, 39%
Row 2: 47%, 74/100, 47/100
Row 3: 74/100, 0.39, 74%

Checking:
- 0.74 = 74/100 = 74% ✓
- 39/100 = 0.39 = 39% ✓
- 47% = 47/100 ✓

Circle: 0.74, 74/100, 74%, 39/100, 0.39, 39%, 47%, 47/100

Grid 4 (middle-left):
Row 1: 0.56, 66/100, %19
Row 2: 65/100, %66, 91/100
Row 3: %65, 0.66, 0.91

Checking:
- 0.56... doesn't see a match
- 66/100 = 0.66 = 66% ✓ (note: %66 means 66%)
- 65/100 = 0.65 = 65% ✓ (note: %65 means 65%)
- 91/100 = 0.91 ✓
- 19% = 0.19... don't see 0.19 or 19/100

Wait, let me reconsider. Looking for groups of 3:
- 66/100 = 0.66 = 66% → Circle these three
- 65/100 = 65% = 0.65... but I don't see 0.65
- 91/100 = 0.91... but only see two values

Hmm, let me look again at the notation. "%19" likely means "19%" and "%66" means "66%" and "%65" means "65%".

So:
- 66/100 = 0.66 = 66% (%66) ✓
- 65/100 = 65% (%65)... but no 0.65
- 91/100 = 0.91... but no third match
- 0.56... no match
- 19% (%19)... no match

Actually wait - maybe I should look for ANY three matching values, not necessarily one from each row.

In Grid 4:
- 66/100, 0.66, %66 (which is 66%) → These match!
- That's the only complete set of 3 I can find.

But the instruction says to circle the fraction, percentage, AND decimal that are the same number. So I need all three forms.

Let me reconsider Grid 4:
- 66/100 = 0.66 = 66% → Circle all three
- Are there others? 65/100 = 0.65 = 65%, but I only see 65/100 and %65, not 0.65
- 91/100 = 0.91 = 91%, but I only see 91/100 and 0.91, not 91%

So only circle: 66/100, 0.66, %66

Grid 5 (middle-center):
Row 1: 0.10, 10%, 1/100
Row 2: 1%, 0.01, 1/100
Row 3: 1.00, 100/1000, 100%

Checking:
- 0.10 = 10% = 1/10 ✓ (but I see 1/100, not 1/10)
- Wait: 0.10 = 10/100 = 10% ✓
- 1/100 = 0.01 = 1% ✓
- 1.00 = 100/100 = 100%... but I see 100/1000 = 0.1 = 10%

Let me recalculate:
- 0.10 = 10% ✓
- 1/100 = 0.01 = 1% ✓
- 1.00 = 100% ✓
- 100/1000 = 0.1 = 10% ✓

So:
- 0.10 = 10% = 100/1000 → Circle these three!
- 1/100 = 0.01 = 1% → Circle these three!
- 1.00 = 100%... but need a third match. 100/100 = 1.00, but I see 100/1000

Actually: 1.00 = 100/100 = 100%. Do I see 100/100? No, I see 100/1000.

Hmm, let me check: 100/1000 = 0.1 = 10%. So:
- 0.10, 10%, 100/1000 all equal 0.1 → Circle these!
- 1/100, 0.01, 1% all equal 0.01 → Circle these!
- 1.00 = 100%... only two values, no third match

Circle: 0.10, 10%, 100/1000, 1/100, 0.01, 1%

Grid 6 (middle-right):
Row 1: 0.22, 42%, 24/100
Row 2: 42/100, 24%, 0.42
Row 3: 0.24, 22/100, 22%

Checking:
- 0.22 = 22/100 = 22% ✓
- 42% = 42/100 = 0.42 ✓
- 24/100 = 0.24 = 24% ✓

Circle: 0.22, 22/100, 22%, 42%, 42/100, 0.42, 24/100, 0.24, 24%

Grid 7 (bottom-left):
Row 1: 0.13, 13/100, 36%
Row 2: 33/100, 13%, 0.36
Row 3: 0.33, 33%, 36/100

Checking:
- 0.13 = 13/100 = 13% ✓
- 36% = 0.36 = 36/100 ✓
- 33/100 = 0.33 = 33% ✓

Circle: 0.13, 13/100, 13%, 36%, 0.36, 36/100, 33/100, 0.33, 33%

Grid 8 (bottom-middle):
Row 1: 14%, 48/100, .048
Row 2: 14/100, 48%, 0.14
Row 3: 40%, 0.48, 40/100

Checking:
- 14% = 14/100 = 0.14 ✓
- 48/100 = 0.48 = 48% ✓
- .048 = 48/1000... doesn't match anything else
- 40% = 40/100 = 0.40... but I don't see 0.40

Wait, let me check .048 more carefully. .048 = 48/1000 = 4.8%. Don't see a match.

And 40% = 40/100 = 0.4 = 2/5. Don't see 0.4.

So:
- 14%, 14/100, 0.14 → Circle these!
- 48/100, 48%, 0.48 → Circle these!
- 40%, 40/100... need a third. Don't see 0.40 or 0.4

Circle: 14%, 14/100, 0.14, 48/100, 48%, 0.48, 40%, 40/100

Wait, but I need three matching values. Let me check if 40% = 40/100 = something else in the grid.

Looking again: 40%, 40/100... I don't see a decimal 0.4 or 0.40. So only two values match, not three. The instructions say to circle the fraction, percentage, AND decimal. So I should only circle complete sets of 3.

Actually, re-reading: "Circle the (fraction, percentage, and decimal) that are the same number." This means circle all three when they match. If only two match, don't circle them.

So for Grid 8:
- 14% = 14/100 = 0.14 ✓ Circle all three
- 48/100 = 48% = 0.48 ✓ Circle all three
- 40% = 40/100... no third match, don't circle
- .048... no matches, don't circle

Circle: 14%, 14/100, 0.14, 48/100, 48%, 0.48

Grid 9 (bottom-right):
Row 1: 15/100, 15%, 0.05
Row 2: 0.50, 50%, 50/100
Row 3: 5/100, 5%, 0.15

Checking:
- 15/100 = 15% = 0.15 ✓
- 0.50 = 50% = 50/100 ✓
- 0.05 = 5/100 = 5% ✓

Circle: 15/100, 15%, 0.15, 0.50, 50%, 50/100, 0.05, 5/100, 5%

Now let me compile the final answer with all circles for each grid:

Final Answer:

Grid 1 (top-left): Circle 12/100, 0.63, 12%, 63/100, 63%, 0.12

Grid 2 (top-middle): Circle 0.49, 49/100, 99/100, 0.99, 99%, 89/100, 0.89

Grid 3 (top-right): Circle 0.74, 74/100, 74%, 39/100, 0.39, 39%, 47%, 47/100

Grid 4 (middle-left): Circle 66/100, 0.66, %66

Grid 5 (middle-center): Circle 0.10, 10%, 100/1000, 1/100, 0.01, 1%

Grid 6 (middle-right): Circle 0.22, 22/100, 22%, 42%, 42/100, 0.42, 24/100, 0.24, 24%

Grid 7 (bottom-left): Circle 0.13, 13/100, 13%, 36%, 0.36, 36/100, 33/100, 0.33, 33%

Grid 8 (bottom-middle): Circle 14%, 14/100, 0.14, 48/100, 48%, 0.48

Grid 9 (bottom-right): Circle 15/100, 15%, 0.15, 0.50, 50%, 50/100, 0.05, 5/100, 5%