Math worksheet for finding equivalent fractions, decimals, and percentages.
A worksheet titled "Finding Equivalent Fractions, Decimals, and Percents (B)" with Section A asking students to color three boxes in each grid that show equivalent fraction, decimal, and percentage values. The worksheet contains multiple grids with various fractions, decimals, and percentages.
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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 will solve this problem by identifying the equivalent fractions, decimals, and percentages in each 3x3 grid. The task is to find three boxes in each grid that represent the same value, just written in different forms (fraction, decimal, percent).
I'll go through each grid one by one.
First Grid (Top Left):
- 7/10 = 0.7 = 70%
- 25% = 0.25 = 1/4
- 3/4 = 0.75 = 75%
Looking at the values:
- 0.75 (decimal) = 75% (percent) = 3/4 (fraction)
These three are equivalent: 0.75, 75%, and 3/4.
Second Grid (Top Middle):
- 0.2 = 1/5 = 20%
- 1/2 = 0.5 = 50%
- 2% = 0.02
Looking at the values:
- 0.2 (decimal) = 1/5 (fraction) = 20% (percent)
These three are equivalent: 0.2, 1/5, and 20%.
Third Grid (Top Right):
- 1/7 ≈ 0.1428... ≈ 14.28%
- 40% = 0.4 = 2/5
- 3/4 = 0.75 = 75%
Looking at the values:
- 0.25 (decimal) = 25% (percent) = 1/4 (fraction)
These three are equivalent: 0.25, 25%, and 1/4.
Fourth Grid (Second Row, Left):
- 7/10 = 0.7 = 70%
- 77% = 0.77
- 7/100 = 0.07 = 7%
Looking at the values:
- 0.75 (decimal) = 75% (percent) = 3/4 (fraction)
Wait, I need to check again. In this grid:
- 0.75 = 75% = 3/4? But 3/4 isn't in this grid.
Actually, looking again:
- 0.75 = 75% = ? Let me see if there's a fraction equal to 0.75.
There's no 3/4 here. Let me check other combinations.
- 7/10 = 0.7 = 70% - these three are equivalent.
These three are equivalent: 7/10, 0.7, and 70%.
Fifth Grid (Second Row, Middle):
- 0.25 = 1/4 = 25%
- 0.025 = 2.5%
- 1/2% = 0.5% = 0.005
Looking at the values:
- 0.25 (decimal) = 1/4? But 1/4 isn't here. Wait, 1/2 is 0.5 = 50%.
Actually, let's check:
- 0.5 (decimal) = 1/2 (fraction) = 50% (percent)
These three are equivalent: 0.5, 1/2, and 50%.
Sixth Grid (Second Row, Right):
- 5/15 = 1/3 ≈ 0.333... ≈ 33.3%
- 15% = 0.15 = 3/20
- 55/100 = 0.55 = 55%
Looking at the values:
- 0.15 (decimal) = 15% (percent) = 15/100 (fraction) = 3/20
These three are equivalent: 0.15, 15%, and 15/100.
Seventh Grid (Third Row, Left):
- 4/100 = 0.04 = 4%
- 25% = 0.25 = 1/4
- 3/4 = 0.75 = 75%
Looking at the values:
- 0.4 (decimal) = 40% (percent) = 2/5 (fraction)
These three are equivalent: 0.4, 40%, and 2/5.
Eighth Grid (Third Row, Middle):
- 6/100 = 0.06 = 6%
- 16% = 0.16
- 3/5 = 0.6 = 60%
Looking at the values:
- 0.6 (decimal) = 60% (percent) = 3/5 (fraction)
These three are equivalent: 0.6, 60%, and 3/5.
Ninth Grid (Third Row, Right):
- 1/10 = 0.1 = 10%
- 1% = 0.01 = 1/100
- 11/100 = 0.11 = 11%
Looking at the values:
- 0.01 (decimal) = 1% (percent) = 1/100 (fraction)
These three are equivalent: 0.01, 1%, and 1/100.
Tenth Grid (Bottom Left):
- 8/10 = 0.8 = 80%
- 3/4 = 0.75 = 75%
- 4/5 = 0.8 = 80%
Looking at the values:
- 0.8 (decimal) = 80% (percent) = 8/10 (fraction) = 4/5 (fraction)
These three are equivalent: 0.8, 80%, and 4/5.
Eleventh Grid (Bottom Middle):
- 0.3 = 30% = 3/10
- 33 1/3% = 1/3 ≈ 0.333...
- 33/100 = 0.33 = 33%
Looking at the values:
- 0.3 (decimal) = 30% (percent) = 30/100 (fraction) = 3/10
These three are equivalent: 0.3, 30%, and 30/100.
Twelfth Grid (Bottom Right):
- 1/20 = 0.05 = 5%
- 0.05 = 5%
- 1/5 = 0.2 = 20%
Looking at the values:
- 0.05 (decimal) = 5% (percent) = 1/20 (fraction)
These three are equivalent: 0.05, 5%, and 1/20.
Now I have identified the equivalent sets for each grid. Let me summarize:
1. Top Left: 0.75, 75%, 3/4
2. Top Middle: 0.2, 1/5, 20%
3. Top Right: 0.25, 25%, 1/4
4. Second Row Left: 7/10, 0.7, 70%
5. Second Row Middle: 0.5, 1/2, 50%
6. Second Row Right: 0.15, 15%, 15/100
7. Third Row Left: 0.4, 40%, 2/5
8. Third Row Middle: 0.6, 60%, 3/5
9. Third Row Right: 0.01, 1%, 1/100
10. Bottom Left: 0.8, 80%, 4/5
11. Bottom Middle: 0.3, 30%, 30/100
12. Bottom Right: 0.05, 5%, 1/20
This completes the solution. Each set of three numbers in the grids represents the same value expressed as a fraction, decimal, and percentage.
I'll go through each grid one by one.
First Grid (Top Left):
- 7/10 = 0.7 = 70%
- 25% = 0.25 = 1/4
- 3/4 = 0.75 = 75%
Looking at the values:
- 0.75 (decimal) = 75% (percent) = 3/4 (fraction)
These three are equivalent: 0.75, 75%, and 3/4.
Second Grid (Top Middle):
- 0.2 = 1/5 = 20%
- 1/2 = 0.5 = 50%
- 2% = 0.02
Looking at the values:
- 0.2 (decimal) = 1/5 (fraction) = 20% (percent)
These three are equivalent: 0.2, 1/5, and 20%.
Third Grid (Top Right):
- 1/7 ≈ 0.1428... ≈ 14.28%
- 40% = 0.4 = 2/5
- 3/4 = 0.75 = 75%
Looking at the values:
- 0.25 (decimal) = 25% (percent) = 1/4 (fraction)
These three are equivalent: 0.25, 25%, and 1/4.
Fourth Grid (Second Row, Left):
- 7/10 = 0.7 = 70%
- 77% = 0.77
- 7/100 = 0.07 = 7%
Looking at the values:
- 0.75 (decimal) = 75% (percent) = 3/4 (fraction)
Wait, I need to check again. In this grid:
- 0.75 = 75% = 3/4? But 3/4 isn't in this grid.
Actually, looking again:
- 0.75 = 75% = ? Let me see if there's a fraction equal to 0.75.
There's no 3/4 here. Let me check other combinations.
- 7/10 = 0.7 = 70% - these three are equivalent.
These three are equivalent: 7/10, 0.7, and 70%.
Fifth Grid (Second Row, Middle):
- 0.25 = 1/4 = 25%
- 0.025 = 2.5%
- 1/2% = 0.5% = 0.005
Looking at the values:
- 0.25 (decimal) = 1/4? But 1/4 isn't here. Wait, 1/2 is 0.5 = 50%.
Actually, let's check:
- 0.5 (decimal) = 1/2 (fraction) = 50% (percent)
These three are equivalent: 0.5, 1/2, and 50%.
Sixth Grid (Second Row, Right):
- 5/15 = 1/3 ≈ 0.333... ≈ 33.3%
- 15% = 0.15 = 3/20
- 55/100 = 0.55 = 55%
Looking at the values:
- 0.15 (decimal) = 15% (percent) = 15/100 (fraction) = 3/20
These three are equivalent: 0.15, 15%, and 15/100.
Seventh Grid (Third Row, Left):
- 4/100 = 0.04 = 4%
- 25% = 0.25 = 1/4
- 3/4 = 0.75 = 75%
Looking at the values:
- 0.4 (decimal) = 40% (percent) = 2/5 (fraction)
These three are equivalent: 0.4, 40%, and 2/5.
Eighth Grid (Third Row, Middle):
- 6/100 = 0.06 = 6%
- 16% = 0.16
- 3/5 = 0.6 = 60%
Looking at the values:
- 0.6 (decimal) = 60% (percent) = 3/5 (fraction)
These three are equivalent: 0.6, 60%, and 3/5.
Ninth Grid (Third Row, Right):
- 1/10 = 0.1 = 10%
- 1% = 0.01 = 1/100
- 11/100 = 0.11 = 11%
Looking at the values:
- 0.01 (decimal) = 1% (percent) = 1/100 (fraction)
These three are equivalent: 0.01, 1%, and 1/100.
Tenth Grid (Bottom Left):
- 8/10 = 0.8 = 80%
- 3/4 = 0.75 = 75%
- 4/5 = 0.8 = 80%
Looking at the values:
- 0.8 (decimal) = 80% (percent) = 8/10 (fraction) = 4/5 (fraction)
These three are equivalent: 0.8, 80%, and 4/5.
Eleventh Grid (Bottom Middle):
- 0.3 = 30% = 3/10
- 33 1/3% = 1/3 ≈ 0.333...
- 33/100 = 0.33 = 33%
Looking at the values:
- 0.3 (decimal) = 30% (percent) = 30/100 (fraction) = 3/10
These three are equivalent: 0.3, 30%, and 30/100.
Twelfth Grid (Bottom Right):
- 1/20 = 0.05 = 5%
- 0.05 = 5%
- 1/5 = 0.2 = 20%
Looking at the values:
- 0.05 (decimal) = 5% (percent) = 1/20 (fraction)
These three are equivalent: 0.05, 5%, and 1/20.
Now I have identified the equivalent sets for each grid. Let me summarize:
1. Top Left: 0.75, 75%, 3/4
2. Top Middle: 0.2, 1/5, 20%
3. Top Right: 0.25, 25%, 1/4
4. Second Row Left: 7/10, 0.7, 70%
5. Second Row Middle: 0.5, 1/2, 50%
6. Second Row Right: 0.15, 15%, 15/100
7. Third Row Left: 0.4, 40%, 2/5
8. Third Row Middle: 0.6, 60%, 3/5
9. Third Row Right: 0.01, 1%, 1/100
10. Bottom Left: 0.8, 80%, 4/5
11. Bottom Middle: 0.3, 30%, 30/100
12. Bottom Right: 0.05, 5%, 1/20
This completes the solution. Each set of three numbers in the grids represents the same value expressed as a fraction, decimal, and percentage.
Parent Tip: Review the logic above to help your child master the concept of 6 grade algebra worksheet.