Math worksheet for finding equivalent fractions, decimals, and percents.
Worksheet titled "Finding Equivalent Fractions, Decimals, and Percents (B)" with Section A instructions to color three boxes in each grid showing 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
To solve the problem of finding equivalent fractions, decimals, and percents in each grid, we need to identify which entries in each row are mathematically equivalent. Let's go through each grid step by step.
| $\frac{7}{10}$ | $25\%$ | $\frac{3}{4}$ |
| $0.75$ | $7\%$ | $73\%$ |
| $75\%$ | $0.25$ | $\frac{1}{7}$ |
- Row 1:
- $\frac{7}{10} = 0.7 = 70\%$
- $25\% = 0.25$
- $\frac{3}{4} = 0.75 = 75\%$
- None of these are equivalent.
- Row 2:
- $0.75 = 75\%$
- $7\% = 0.07$
- $73\% = 0.73$
- None of these are equivalent.
- Row 3:
- $75\% = 0.75$
- $0.25 = 25\%$
- $\frac{1}{7} \approx 0.1429 \approx 14.29\%$
- None of these are equivalent.
| $0.2$ | $\frac{1}{2}$ | $2\%$ |
| $0.15$ | $\frac{1}{5}$ | $22\%$ |
| $5\%$ | $0.5$ | $20\%$ |
- Row 1:
- $0.2 = 20\%$
- $\frac{1}{2} = 0.5 = 50\%$
- $2\% = 0.02$
- None of these are equivalent.
- Row 2:
- $0.15 = 15\%$
- $\frac{1}{5} = 0.2 = 20\%$
- $22\% = 0.22$
- None of these are equivalent.
- Row 3:
- $5\% = 0.05$
- $0.5 = 50\%$
- $20\% = 0.2$
- None of these are equivalent.
| $\frac{1}{7}$ | $40\%$ | $\frac{3}{4}$ |
| $0.25$ | $\frac{4}{10}$ | $25\%$ |
| $\frac{44}{100}$ | $0.52$ | $\frac{1}{4}$ |
- Row 1:
- $\frac{1}{7} \approx 0.1429 \approx 14.29\%$
- $40\% = 0.4$
- $\frac{3}{4} = 0.75 = 75\%$
- None of these are equivalent.
- Row 2:
- $0.25 = 25\%$
- $\frac{4}{10} = 0.4 = 40\%$
- $25\% = 0.25$
- The second and third entries are equivalent.
- Row 3:
- $\frac{44}{100} = 0.44 = 44\%$
- $0.52 = 52\%$
- $\frac{1}{4} = 0.25 = 25\%$
- None of these are equivalent.
| $\frac{7}{10}$ | $77\%$ | $\frac{7}{100}$ |
| $0.75$ | $7\%$ | $70\%$ |
| $75\%$ | $0.7$ | $\frac{1}{7}$ |
- Row 1:
- $\frac{7}{10} = 0.7 = 70\%$
- $77\% = 0.77$
- $\frac{7}{100} = 0.07 = 7\%$
- The first entry is equivalent to the third entry.
- Row 2:
- $0.75 = 75\%$
- $7\% = 0.07$
- $70\% = 0.7$
- None of these are equivalent.
- Row 3:
- $75\% = 0.75$
- $0.7 = 70\%$
- $\frac{1}{7} \approx 0.1429 \approx 14.29\%$
- None of these are equivalent.
| $0.25$ | $0.025$ | $\frac{1}{2}\%$ |
| $0.15$ | $\frac{2}{5}$ | $50\%$ |
| $\frac{1}{2}$ | $0.5$ | $20\%$ |
- Row 1:
- $0.25 = 25\%$
- $0.025 = 2.5\%$
- $\frac{1}{2}\% = 0.5\% = 0.005$
- None of these are equivalent.
- Row 2:
- $0.15 = 15\%$
- $\frac{2}{5} = 0.4 = 40\%$
- $50\% = 0.5$
- None of these are equivalent.
- Row 3:
- $\frac{1}{2} = 0.5 = 50\%$
- $0.5 = 50\%$
- $20\% = 0.2$
- The first and second entries are equivalent.
| $\frac{5}{15}$ | $15\%$ | $\frac{55}{100}$ |
| $0.15$ | $\frac{1}{15}$ | $55\%$ |
| $\frac{15}{100}$ | $0.51$ | $\frac{1}{5}$ |
- Row 1:
- $\frac{5}{15} = \frac{1}{3} \approx 0.3333 \approx 33.33\%$
- $15\% = 0.15$
- $\frac{55}{100} = 0.55 = 55\%$
- None of these are equivalent.
- Row 2:
- $0.15 = 15\%$
- $\frac{1}{15} \approx 0.0667 \approx 6.67\%$
- $55\% = 0.55$
- None of these are equivalent.
- Row 3:
- $\frac{15}{100} = 0.15 = 15\%$
- $0.51 = 51\%$
- $\frac{1}{5} = 0.2 = 20\%$
- The first entry is equivalent to the second entry.
| $\frac{6}{100}$ | $16\%$ | $\frac{3}{5}$ |
| $0.66$ | $6\%$ | $66\%$ |
| $60\%$ | $0.6$ | $\frac{2}{3}$ |
- Row 1:
- $\frac{6}{100} = 0.06 = 6\%$
- $16\% = 0.16$
- $\frac{3}{5} = 0.6 = 60\%$
- None of these are equivalent.
- Row 2:
- $0.66 = 66\%$
- $6\% = 0.06$
- $66\% = 0.66$
- The first and third entries are equivalent.
- Row 3:
- $60\% = 0.6$
- $0.6 = 60\%$
- $\frac{2}{3} \approx 0.6667 \approx 66.67\%$
- The first and second entries are equivalent.
| $\frac{1}{10}$ | $1\%$ | $\frac{11}{100}$ |
| $0.1\%$ | $0.01$ | $11\%$ |
| $\frac{1}{100}$ | $10\%$ | $1.1$ |
- Row 1:
- $\frac{1}{10} = 0.1 = 10\%$
- $1\% = 0.01$
- $\frac{11}{100} = 0.11 = 11\%$
- None of these are equivalent.
- Row 2:
- $0.1\% = 0.001$
- $0.01 = 1\%$
- $11\% = 0.11$
- None of these are equivalent.
- Row 3:
- $\frac{1}{100} = 0.01 = 1\%$
- $10\% = 0.1$
- $1.1 = 110\%$
- None of these are equivalent.
| $\frac{8}{10}$ | $80\%$ | $\frac{3}{4}$ |
| $0.8$ | $\frac{4}{5}$ | $8.8\%$ |
| $\frac{8}{100}$ | $0.08$ | $\frac{1}{8}$ |
- Row 1:
- $\frac{8}{10} = 0.8 = 80\%$
- $80\% = 0.8$
- $\frac{3}{4} = 0.75 = 75\%$
- The first and second entries are equivalent.
- Row 2:
- $0.8 = 80\%$
- $\frac{4}{5} = 0.8 = 80\%$
- $8.8\% = 0.088$
- The first and second entries are equivalent.
- Row 3:
- $\frac{8}{100} = 0.08 = 8\%$
- $0.08 = 8\%$
- $\frac{1}{8} = 0.125 = 12.5\%$
- The first and second entries are equivalent.
| $0.\dot{3}$ | $33\frac{1}{3}\%$ | $\frac{33}{100}$ |
| $0.03$ | $0.3$ | $33\%$ |
| $\frac{30}{100}$ | $3\%$ | $\frac{1}{3}$ |
- Row 1:
- $0.\dot{3} = 0.3333\ldots = \frac{1}{3} \approx 33.33\%$
- $33\frac{1}{3}\% = 33.33\%$
- $\frac{33}{100} = 0.33 = 33\%$
- The first and second entries are equivalent.
- Row 2:
- $0.03 = 3\%$
- $0.3 = 30\%$
- $33\% = 0.33$
- None of these are equivalent.
- Row 3:
- $\frac{30}{100} = 0.3 = 30\%$
- $3\% = 0.03$
- $\frac{1}{3} = 0.3333\ldots \approx 33.33\%$
- None of these are equivalent.
| $\frac{1}{20}$ | $0.05$ | $\frac{1}{5}$ |
| $0.02$ | $20\%$ | $0.2\%$ |
| $5\%$ | $0.5$ | $\frac{2}{100}$ |
- Row 1:
- $\frac{1}{20} = 0.05 = 5\%$
- $0.05 = 5\%$
- $\frac{1}{5} = 0.2 = 20\%$
- The first and second entries are equivalent.
- Row 2:
- $0.02 = 2\%$
- $20\% = 0.2$
- $0.2\% = 0.002$
- None of these are equivalent.
- Row 3:
- $5\% = 0.05$
- $0.5 = 50\%$
- $\frac{2}{100} = 0.02 = 2\%$
- None of these are equivalent.
The equivalent entries in each grid are:
- Grid 1: None
- Grid 2: None
- Grid 3: Row 2 (second and third entries)
- Grid 4: Row 1 (first and third entries)
- Grid 5: Row 3 (first and second entries)
- Grid 6: Row 3 (first entry and second entry)
- Grid 7: Row 2 (first and third entries), Row 3 (first and second entries)
- Grid 8: None
- Grid 9: Row 1 (first and second entries), Row 2 (first and second entries), Row 3 (first and second entries)
- Grid 10: Row 1 (first and second entries)
- Grid 11: Row 1 (first and second entries)
$$
\boxed{\text{See detailed explanation above for each grid.}}
$$
Grid 1
| $\frac{7}{10}$ | $25\%$ | $\frac{3}{4}$ |
| $0.75$ | $7\%$ | $73\%$ |
| $75\%$ | $0.25$ | $\frac{1}{7}$ |
- Row 1:
- $\frac{7}{10} = 0.7 = 70\%$
- $25\% = 0.25$
- $\frac{3}{4} = 0.75 = 75\%$
- None of these are equivalent.
- Row 2:
- $0.75 = 75\%$
- $7\% = 0.07$
- $73\% = 0.73$
- None of these are equivalent.
- Row 3:
- $75\% = 0.75$
- $0.25 = 25\%$
- $\frac{1}{7} \approx 0.1429 \approx 14.29\%$
- None of these are equivalent.
Grid 2
| $0.2$ | $\frac{1}{2}$ | $2\%$ |
| $0.15$ | $\frac{1}{5}$ | $22\%$ |
| $5\%$ | $0.5$ | $20\%$ |
- Row 1:
- $0.2 = 20\%$
- $\frac{1}{2} = 0.5 = 50\%$
- $2\% = 0.02$
- None of these are equivalent.
- Row 2:
- $0.15 = 15\%$
- $\frac{1}{5} = 0.2 = 20\%$
- $22\% = 0.22$
- None of these are equivalent.
- Row 3:
- $5\% = 0.05$
- $0.5 = 50\%$
- $20\% = 0.2$
- None of these are equivalent.
Grid 3
| $\frac{1}{7}$ | $40\%$ | $\frac{3}{4}$ |
| $0.25$ | $\frac{4}{10}$ | $25\%$ |
| $\frac{44}{100}$ | $0.52$ | $\frac{1}{4}$ |
- Row 1:
- $\frac{1}{7} \approx 0.1429 \approx 14.29\%$
- $40\% = 0.4$
- $\frac{3}{4} = 0.75 = 75\%$
- None of these are equivalent.
- Row 2:
- $0.25 = 25\%$
- $\frac{4}{10} = 0.4 = 40\%$
- $25\% = 0.25$
- The second and third entries are equivalent.
- Row 3:
- $\frac{44}{100} = 0.44 = 44\%$
- $0.52 = 52\%$
- $\frac{1}{4} = 0.25 = 25\%$
- None of these are equivalent.
Grid 4
| $\frac{7}{10}$ | $77\%$ | $\frac{7}{100}$ |
| $0.75$ | $7\%$ | $70\%$ |
| $75\%$ | $0.7$ | $\frac{1}{7}$ |
- Row 1:
- $\frac{7}{10} = 0.7 = 70\%$
- $77\% = 0.77$
- $\frac{7}{100} = 0.07 = 7\%$
- The first entry is equivalent to the third entry.
- Row 2:
- $0.75 = 75\%$
- $7\% = 0.07$
- $70\% = 0.7$
- None of these are equivalent.
- Row 3:
- $75\% = 0.75$
- $0.7 = 70\%$
- $\frac{1}{7} \approx 0.1429 \approx 14.29\%$
- None of these are equivalent.
Grid 5
| $0.25$ | $0.025$ | $\frac{1}{2}\%$ |
| $0.15$ | $\frac{2}{5}$ | $50\%$ |
| $\frac{1}{2}$ | $0.5$ | $20\%$ |
- Row 1:
- $0.25 = 25\%$
- $0.025 = 2.5\%$
- $\frac{1}{2}\% = 0.5\% = 0.005$
- None of these are equivalent.
- Row 2:
- $0.15 = 15\%$
- $\frac{2}{5} = 0.4 = 40\%$
- $50\% = 0.5$
- None of these are equivalent.
- Row 3:
- $\frac{1}{2} = 0.5 = 50\%$
- $0.5 = 50\%$
- $20\% = 0.2$
- The first and second entries are equivalent.
Grid 6
| $\frac{5}{15}$ | $15\%$ | $\frac{55}{100}$ |
| $0.15$ | $\frac{1}{15}$ | $55\%$ |
| $\frac{15}{100}$ | $0.51$ | $\frac{1}{5}$ |
- Row 1:
- $\frac{5}{15} = \frac{1}{3} \approx 0.3333 \approx 33.33\%$
- $15\% = 0.15$
- $\frac{55}{100} = 0.55 = 55\%$
- None of these are equivalent.
- Row 2:
- $0.15 = 15\%$
- $\frac{1}{15} \approx 0.0667 \approx 6.67\%$
- $55\% = 0.55$
- None of these are equivalent.
- Row 3:
- $\frac{15}{100} = 0.15 = 15\%$
- $0.51 = 51\%$
- $\frac{1}{5} = 0.2 = 20\%$
- The first entry is equivalent to the second entry.
Grid 7
| $\frac{6}{100}$ | $16\%$ | $\frac{3}{5}$ |
| $0.66$ | $6\%$ | $66\%$ |
| $60\%$ | $0.6$ | $\frac{2}{3}$ |
- Row 1:
- $\frac{6}{100} = 0.06 = 6\%$
- $16\% = 0.16$
- $\frac{3}{5} = 0.6 = 60\%$
- None of these are equivalent.
- Row 2:
- $0.66 = 66\%$
- $6\% = 0.06$
- $66\% = 0.66$
- The first and third entries are equivalent.
- Row 3:
- $60\% = 0.6$
- $0.6 = 60\%$
- $\frac{2}{3} \approx 0.6667 \approx 66.67\%$
- The first and second entries are equivalent.
Grid 8
| $\frac{1}{10}$ | $1\%$ | $\frac{11}{100}$ |
| $0.1\%$ | $0.01$ | $11\%$ |
| $\frac{1}{100}$ | $10\%$ | $1.1$ |
- Row 1:
- $\frac{1}{10} = 0.1 = 10\%$
- $1\% = 0.01$
- $\frac{11}{100} = 0.11 = 11\%$
- None of these are equivalent.
- Row 2:
- $0.1\% = 0.001$
- $0.01 = 1\%$
- $11\% = 0.11$
- None of these are equivalent.
- Row 3:
- $\frac{1}{100} = 0.01 = 1\%$
- $10\% = 0.1$
- $1.1 = 110\%$
- None of these are equivalent.
Grid 9
| $\frac{8}{10}$ | $80\%$ | $\frac{3}{4}$ |
| $0.8$ | $\frac{4}{5}$ | $8.8\%$ |
| $\frac{8}{100}$ | $0.08$ | $\frac{1}{8}$ |
- Row 1:
- $\frac{8}{10} = 0.8 = 80\%$
- $80\% = 0.8$
- $\frac{3}{4} = 0.75 = 75\%$
- The first and second entries are equivalent.
- Row 2:
- $0.8 = 80\%$
- $\frac{4}{5} = 0.8 = 80\%$
- $8.8\% = 0.088$
- The first and second entries are equivalent.
- Row 3:
- $\frac{8}{100} = 0.08 = 8\%$
- $0.08 = 8\%$
- $\frac{1}{8} = 0.125 = 12.5\%$
- The first and second entries are equivalent.
Grid 10
| $0.\dot{3}$ | $33\frac{1}{3}\%$ | $\frac{33}{100}$ |
| $0.03$ | $0.3$ | $33\%$ |
| $\frac{30}{100}$ | $3\%$ | $\frac{1}{3}$ |
- Row 1:
- $0.\dot{3} = 0.3333\ldots = \frac{1}{3} \approx 33.33\%$
- $33\frac{1}{3}\% = 33.33\%$
- $\frac{33}{100} = 0.33 = 33\%$
- The first and second entries are equivalent.
- Row 2:
- $0.03 = 3\%$
- $0.3 = 30\%$
- $33\% = 0.33$
- None of these are equivalent.
- Row 3:
- $\frac{30}{100} = 0.3 = 30\%$
- $3\% = 0.03$
- $\frac{1}{3} = 0.3333\ldots \approx 33.33\%$
- None of these are equivalent.
Grid 11
| $\frac{1}{20}$ | $0.05$ | $\frac{1}{5}$ |
| $0.02$ | $20\%$ | $0.2\%$ |
| $5\%$ | $0.5$ | $\frac{2}{100}$ |
- Row 1:
- $\frac{1}{20} = 0.05 = 5\%$
- $0.05 = 5\%$
- $\frac{1}{5} = 0.2 = 20\%$
- The first and second entries are equivalent.
- Row 2:
- $0.02 = 2\%$
- $20\% = 0.2$
- $0.2\% = 0.002$
- None of these are equivalent.
- Row 3:
- $5\% = 0.05$
- $0.5 = 50\%$
- $\frac{2}{100} = 0.02 = 2\%$
- None of these are equivalent.
Final Answer
The equivalent entries in each grid are:
- Grid 1: None
- Grid 2: None
- Grid 3: Row 2 (second and third entries)
- Grid 4: Row 1 (first and third entries)
- Grid 5: Row 3 (first and second entries)
- Grid 6: Row 3 (first entry and second entry)
- Grid 7: Row 2 (first and third entries), Row 3 (first and second entries)
- Grid 8: None
- Grid 9: Row 1 (first and second entries), Row 2 (first and second entries), Row 3 (first and second entries)
- Grid 10: Row 1 (first and second entries)
- Grid 11: Row 1 (first and second entries)
$$
\boxed{\text{See detailed explanation above for each grid.}}
$$
Parent Tip: Review the logic above to help your child master the concept of free printable 6th grade math worksheet.