Math worksheet for students to practice converting and identifying equivalent fractions, decimals, and percentages.
Worksheet titled "Finding Equivalent Fractions, Decimals, and Percents (B)" with Section A asking to color three boxes in each grid showing equivalent fraction, decimal, and percentage values.
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Math Worksheets | Printable PDF Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Math Worksheets | Printable PDF Worksheets
I need to solve this worksheet about finding equivalent fractions, decimals, and percents. Let me work through each grid systematically.
For each 3x3 grid, I need to find three boxes that show equivalent values (one fraction, one decimal, and one percentage).
Let me go through each grid:
Grid 1 (top left):
Values: 7/10, 25%, 3/4, 0.75, 7%, 73%, 75%, 0.25, 1/7
Converting to check equivalents:
- 7/10 = 0.7 = 70%
- 25% = 0.25 = 1/4
- 3/4 = 0.75 = 75% ✓
- 0.75 = 75% = 3/4 ✓
- 7% = 0.07
- 73% = 0.73
- 75% = 0.75 = 3/4 ✓
- 0.25 = 25% = 1/4
- 1/7 ≈ 0.143 = 14.3%
Answer for Grid 1: 3/4, 0.75, 75%
Grid 2 (top middle):
Values: 0.2, 1/2, 2%, 0.15, 1/5, 22%, 5%, 0.5, 20%
Checking:
- 0.2 = 20% = 1/5 ✓
- 1/2 = 0.5 = 50%
- 2% = 0.02
- 0.15 = 15%
- 1/5 = 0.2 = 20% ✓
- 22% = 0.22
- 5% = 0.05
- 0.5 = 50% = 1/2
- 20% = 0.2 = 1/5 ✓
Answer for Grid 2: 0.2, 1/5, 20%
Grid 3 (top right):
Values: 1/7, 40%, 3/4, 0.25, 4/10, 25%, 44/100, 0.52, 1/4
Checking:
- 1/7 ≈ 0.143
- 40% = 0.4 = 2/5
- 3/4 = 0.75 = 75%
- 0.25 = 25% = 1/4 ✓
- 4/10 = 0.4 = 40%
- 25% = 0.25 = 1/4 ✓
- 44/100 = 0.44 = 44%
- 0.52 = 52%
- 1/4 = 0.25 = 25% ✓
Answer for Grid 3: 0.25, 25%, 1/4
Grid 4 (second row, left):
Values: 7/10, 77%, 7/100, 0.75, 7%, 70%, 75%, 0.7, 1/7
Checking:
- 7/10 = 0.7 = 70% ✓
- 77% = 0.77
- 7/100 = 0.07 = 7%
- 0.75 = 75% = 3/4
- 7% = 0.07 = 7/100
- 70% = 0.7 = 7/10 ✓
- 75% = 0.75
- 0.7 = 70% = 7/10 ✓
- 1/7 ≈ 0.143
Answer for Grid 4: 7/10, 0.7, 70%
Grid 5 (second row, middle):
Values: 0.25, 0.025, 1/2%, 0.15, 2/5, 50%, 1/2, 0.5, 20%
Checking:
- 0.25 = 25% = 1/4
- 0.025 = 2.5%
- 1/2% = 0.5%
- 0.15 = 15%
- 2/5 = 0.4 = 40%
- 50% = 0.5 = 1/2 ✓
- 1/2 = 0.5 = 50% ✓
- 0.5 = 50% = 1/2 ✓
- 20% = 0.2
Answer for Grid 5: 1/2, 0.5, 50%
Grid 6 (second row, right):
Values: 5/15, 15%, 55/100, 0.15, 1/15, 55%, 15/100, 0.51, 1/5
Checking:
- 5/15 = 1/3 ≈ 0.333 = 33.3%
- 15% = 0.15 = 15/100 ✓
- 55/100 = 0.55 = 55%
- 0.15 = 15% = 15/100 ✓
- 1/15 ≈ 0.067 = 6.7%
- 55% = 0.55 = 55/100
- 15/100 = 0.15 = 15% ✓
- 0.51 = 51%
- 1/5 = 0.2 = 20%
Answer for Grid 6: 15%, 0.15, 15/100
Grid 7 (third row, left):
Values: 4/100, 25%, 3/4, 0.4, 2/5, 40%, 44/100, 0.44, 1/4
Checking:
- 4/100 = 0.04 = 4%
- 25% = 0.25 = 1/4
- 3/4 = 0.75 = 75%
- 0.4 = 40% = 2/5 ✓
- 2/5 = 0.4 = 40% ✓
- 40% = 0.4 = 2/5 ✓
- 44/100 = 0.44 = 44%
- 0.44 = 44% = 44/100
- 1/4 = 0.25 = 25%
Answer for Grid 7: 0.4, 2/5, 40%
Grid 8 (third row, middle):
Values: 6/100, 16%, 3/5, 0.66, 6%, 66%, 60%, 0.6, 2/3
Checking:
- 6/100 = 0.06 = 6%
- 16% = 0.16
- 3/5 = 0.6 = 60% ✓
- 0.66 = 66%
- 6% = 0.06 = 6/100
- 66% = 0.66
- 60% = 0.6 = 3/5 ✓
- 0.6 = 60% = 3/5 ✓
- 2/3 ≈ 0.667 = 66.7%
Answer for Grid 8: 3/5, 0.6, 60%
Grid 9 (third row, right):
Values: 1/10, 1%, 11/100, 0.1%, 0.01, 11%, 1/100, 10%, 1.1
Checking:
- 1/10 = 0.1 = 10% ✓
- 1% = 0.01 = 1/100
- 11/100 = 0.11 = 11%
- 0.1% = 0.001
- 0.01 = 1% = 1/100
- 11% = 0.11 = 11/100
- 1/100 = 0.01 = 1%
- 10% = 0.1 = 1/10 ✓
- 1.1 = 110%
Answer for Grid 9: 1/10, 10%, 0.1
Wait, let me reconsider Grid 9. Looking at the values again:
- 1/10 = 0.1 = 10% ✓
- But I don't see 0.1 in the grid...
Let me recheck Grid 9 values from the image:
1/10, 1%, 11/100
0.1%, 0.01, 11%
1/100, 10%, 1.1
So: 1/10 = 0.1 = 10% ✓
But where is 0.1? It's not there. Let me look for another set:
- 1% = 0.01 = 1/100 ✓
Answer for Grid 9: 1%, 0.01, 1/100
Grid 10 (bottom left):
Values: 8/10, 80%, 3/4, 0.8, 4/5, 8.8%, 8/100, 0.08, 1/8
Checking:
- 8/10 = 0.8 = 80% ✓
- 80% = 0.8 = 8/10 ✓
- 3/4 = 0.75 = 75%
- 0.8 = 80% = 8/10 ✓
- 4/5 = 0.8 = 80%
- 8.8% = 0.088
- 8/100 = 0.08 = 8%
- 0.08 = 8% = 8/100
- 1/8 = 0.125 = 12.5%
Answer for Grid 10: 8/10, 0.8, 80%
Grid 11 (bottom middle):
Values: 0.3̅, 33⅓%, 33/100, 0.03, 0.3, 33%, 30/100, 3%, 1/3
Checking:
- 0.3̅ (repeating) = 1/3 = 33% ✓
- 33⅓% = 1/3 = 0.3̅ ✓
- 33/100 = 0.33 = 33%
- 0.03 = 3%
- 0.3 = 30% = 30/100
- 33% = 0.33 = 33/100
- 30/100 = 0.3 = 30%
- 3% = 0.03
- 1/3 = 0.3̅ = 33⅓% ✓
Answer for Grid 11: 0.3̅, 33⅓%, 1/3
Grid 12 (bottom right):
Values: 1/20, 0.05, 1/5, 0.02, 20%, 0.2%, 5%, 0.5, 2/100
Checking:
- 1/20 = 0.05 = 5% ✓
- 0.05 = 5% = 1/20 ✓
- 1/5 = 0.2 = 20%
- 0.02 = 2% = 2/100
- 20% = 0.2 = 1/5
- 0.2% = 0.002
- 5% = 0.05 = 1/20 ✓
- 0.5 = 50%
- 2/100 = 0.02 = 2%
Answer for Grid 12: 1/20, 0.05, 5%
Final Answer:
Grid 1: 3/4, 0.75, 75%
Grid 2: 0.2, 1/5, 20%
Grid 3: 0.25, 25%, 1/4
Grid 4: 7/10, 0.7, 70%
Grid 5: 1/2, 0.5, 50%
Grid 6: 15%, 0.15, 15/100
Grid 7: 0.4, 2/5, 40%
Grid 8: 3/5, 0.6, 60%
Grid 9: 1%, 0.01, 1/100
Grid 10: 8/10, 0.8, 80%
Grid 11: 0.3̅, 33⅓%, 1/3
Grid 12: 1/20, 0.05, 5%
For each 3x3 grid, I need to find three boxes that show equivalent values (one fraction, one decimal, and one percentage).
Let me go through each grid:
Grid 1 (top left):
Values: 7/10, 25%, 3/4, 0.75, 7%, 73%, 75%, 0.25, 1/7
Converting to check equivalents:
- 7/10 = 0.7 = 70%
- 25% = 0.25 = 1/4
- 3/4 = 0.75 = 75% ✓
- 0.75 = 75% = 3/4 ✓
- 7% = 0.07
- 73% = 0.73
- 75% = 0.75 = 3/4 ✓
- 0.25 = 25% = 1/4
- 1/7 ≈ 0.143 = 14.3%
Answer for Grid 1: 3/4, 0.75, 75%
Grid 2 (top middle):
Values: 0.2, 1/2, 2%, 0.15, 1/5, 22%, 5%, 0.5, 20%
Checking:
- 0.2 = 20% = 1/5 ✓
- 1/2 = 0.5 = 50%
- 2% = 0.02
- 0.15 = 15%
- 1/5 = 0.2 = 20% ✓
- 22% = 0.22
- 5% = 0.05
- 0.5 = 50% = 1/2
- 20% = 0.2 = 1/5 ✓
Answer for Grid 2: 0.2, 1/5, 20%
Grid 3 (top right):
Values: 1/7, 40%, 3/4, 0.25, 4/10, 25%, 44/100, 0.52, 1/4
Checking:
- 1/7 ≈ 0.143
- 40% = 0.4 = 2/5
- 3/4 = 0.75 = 75%
- 0.25 = 25% = 1/4 ✓
- 4/10 = 0.4 = 40%
- 25% = 0.25 = 1/4 ✓
- 44/100 = 0.44 = 44%
- 0.52 = 52%
- 1/4 = 0.25 = 25% ✓
Answer for Grid 3: 0.25, 25%, 1/4
Grid 4 (second row, left):
Values: 7/10, 77%, 7/100, 0.75, 7%, 70%, 75%, 0.7, 1/7
Checking:
- 7/10 = 0.7 = 70% ✓
- 77% = 0.77
- 7/100 = 0.07 = 7%
- 0.75 = 75% = 3/4
- 7% = 0.07 = 7/100
- 70% = 0.7 = 7/10 ✓
- 75% = 0.75
- 0.7 = 70% = 7/10 ✓
- 1/7 ≈ 0.143
Answer for Grid 4: 7/10, 0.7, 70%
Grid 5 (second row, middle):
Values: 0.25, 0.025, 1/2%, 0.15, 2/5, 50%, 1/2, 0.5, 20%
Checking:
- 0.25 = 25% = 1/4
- 0.025 = 2.5%
- 1/2% = 0.5%
- 0.15 = 15%
- 2/5 = 0.4 = 40%
- 50% = 0.5 = 1/2 ✓
- 1/2 = 0.5 = 50% ✓
- 0.5 = 50% = 1/2 ✓
- 20% = 0.2
Answer for Grid 5: 1/2, 0.5, 50%
Grid 6 (second row, right):
Values: 5/15, 15%, 55/100, 0.15, 1/15, 55%, 15/100, 0.51, 1/5
Checking:
- 5/15 = 1/3 ≈ 0.333 = 33.3%
- 15% = 0.15 = 15/100 ✓
- 55/100 = 0.55 = 55%
- 0.15 = 15% = 15/100 ✓
- 1/15 ≈ 0.067 = 6.7%
- 55% = 0.55 = 55/100
- 15/100 = 0.15 = 15% ✓
- 0.51 = 51%
- 1/5 = 0.2 = 20%
Answer for Grid 6: 15%, 0.15, 15/100
Grid 7 (third row, left):
Values: 4/100, 25%, 3/4, 0.4, 2/5, 40%, 44/100, 0.44, 1/4
Checking:
- 4/100 = 0.04 = 4%
- 25% = 0.25 = 1/4
- 3/4 = 0.75 = 75%
- 0.4 = 40% = 2/5 ✓
- 2/5 = 0.4 = 40% ✓
- 40% = 0.4 = 2/5 ✓
- 44/100 = 0.44 = 44%
- 0.44 = 44% = 44/100
- 1/4 = 0.25 = 25%
Answer for Grid 7: 0.4, 2/5, 40%
Grid 8 (third row, middle):
Values: 6/100, 16%, 3/5, 0.66, 6%, 66%, 60%, 0.6, 2/3
Checking:
- 6/100 = 0.06 = 6%
- 16% = 0.16
- 3/5 = 0.6 = 60% ✓
- 0.66 = 66%
- 6% = 0.06 = 6/100
- 66% = 0.66
- 60% = 0.6 = 3/5 ✓
- 0.6 = 60% = 3/5 ✓
- 2/3 ≈ 0.667 = 66.7%
Answer for Grid 8: 3/5, 0.6, 60%
Grid 9 (third row, right):
Values: 1/10, 1%, 11/100, 0.1%, 0.01, 11%, 1/100, 10%, 1.1
Checking:
- 1/10 = 0.1 = 10% ✓
- 1% = 0.01 = 1/100
- 11/100 = 0.11 = 11%
- 0.1% = 0.001
- 0.01 = 1% = 1/100
- 11% = 0.11 = 11/100
- 1/100 = 0.01 = 1%
- 10% = 0.1 = 1/10 ✓
- 1.1 = 110%
Answer for Grid 9: 1/10, 10%, 0.1
Wait, let me reconsider Grid 9. Looking at the values again:
- 1/10 = 0.1 = 10% ✓
- But I don't see 0.1 in the grid...
Let me recheck Grid 9 values from the image:
1/10, 1%, 11/100
0.1%, 0.01, 11%
1/100, 10%, 1.1
So: 1/10 = 0.1 = 10% ✓
But where is 0.1? It's not there. Let me look for another set:
- 1% = 0.01 = 1/100 ✓
Answer for Grid 9: 1%, 0.01, 1/100
Grid 10 (bottom left):
Values: 8/10, 80%, 3/4, 0.8, 4/5, 8.8%, 8/100, 0.08, 1/8
Checking:
- 8/10 = 0.8 = 80% ✓
- 80% = 0.8 = 8/10 ✓
- 3/4 = 0.75 = 75%
- 0.8 = 80% = 8/10 ✓
- 4/5 = 0.8 = 80%
- 8.8% = 0.088
- 8/100 = 0.08 = 8%
- 0.08 = 8% = 8/100
- 1/8 = 0.125 = 12.5%
Answer for Grid 10: 8/10, 0.8, 80%
Grid 11 (bottom middle):
Values: 0.3̅, 33⅓%, 33/100, 0.03, 0.3, 33%, 30/100, 3%, 1/3
Checking:
- 0.3̅ (repeating) = 1/3 = 33% ✓
- 33⅓% = 1/3 = 0.3̅ ✓
- 33/100 = 0.33 = 33%
- 0.03 = 3%
- 0.3 = 30% = 30/100
- 33% = 0.33 = 33/100
- 30/100 = 0.3 = 30%
- 3% = 0.03
- 1/3 = 0.3̅ = 33⅓% ✓
Answer for Grid 11: 0.3̅, 33⅓%, 1/3
Grid 12 (bottom right):
Values: 1/20, 0.05, 1/5, 0.02, 20%, 0.2%, 5%, 0.5, 2/100
Checking:
- 1/20 = 0.05 = 5% ✓
- 0.05 = 5% = 1/20 ✓
- 1/5 = 0.2 = 20%
- 0.02 = 2% = 2/100
- 20% = 0.2 = 1/5
- 0.2% = 0.002
- 5% = 0.05 = 1/20 ✓
- 0.5 = 50%
- 2/100 = 0.02 = 2%
Answer for Grid 12: 1/20, 0.05, 5%
Final Answer:
Grid 1: 3/4, 0.75, 75%
Grid 2: 0.2, 1/5, 20%
Grid 3: 0.25, 25%, 1/4
Grid 4: 7/10, 0.7, 70%
Grid 5: 1/2, 0.5, 50%
Grid 6: 15%, 0.15, 15/100
Grid 7: 0.4, 2/5, 40%
Grid 8: 3/5, 0.6, 60%
Grid 9: 1%, 0.01, 1/100
Grid 10: 8/10, 0.8, 80%
Grid 11: 0.3̅, 33⅓%, 1/3
Grid 12: 1/20, 0.05, 5%
Parent Tip: Review the logic above to help your child master the concept of math worksheet for class 6.
