Converting fractions, decimals and percentages worksheet | Live ... - Free Printable
Educational worksheet: Converting fractions, decimals and percentages worksheet | Live .... Download and print for classroom or home learning activities.
JPG
1000×1291
95.2 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1601686
⭐
Show Answer Key & Explanations
Step-by-step solution for: Converting fractions, decimals and percentages worksheet | Live ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Converting fractions, decimals and percentages worksheet | Live ...
To solve the problem, we need to convert between fractions, decimals, and percents. Let's go through each row step by step.
- Fraction: We need to find the fraction that corresponds to the decimal 0.5.
- \( 0.5 = \frac{5}{10} = \frac{1}{2} \)
- Decimal: Already given as 0.5.
- Percent: To convert 0.5 to a percent, multiply by 100:
- \( 0.5 \times 100 = 50\% \)
Answer for Row 1:
- Fraction: \( \frac{1}{2} \)
- Decimal: 0.5
- Percent: 50%
- Fraction: We need to find the fraction that corresponds to the percent 6%.
- \( 6\% = \frac{6}{100} = \frac{3}{50} \)
- Decimal: To convert 6% to a decimal, divide by 100:
- \( 6\% = \frac{6}{100} = 0.06 \)
- Percent: Already given as 6%.
Answer for Row 2:
- Fraction: \( \frac{3}{50} \)
- Decimal: 0.06
- Percent: 6%
- Fraction: Already given as \( \frac{8}{100} \).
- Decimal: To convert \( \frac{8}{100} \) to a decimal:
- \( \frac{8}{100} = 0.08 \)
- Percent: To convert \( \frac{8}{100} \) to a percent:
- \( \frac{8}{100} \times 100 = 8\% \)
Answer for Row 3:
- Fraction: \( \frac{8}{100} \)
- Decimal: 0.08
- Percent: 8%
- Fraction: We need to find the fraction that corresponds to the percent 16%.
- \( 16\% = \frac{16}{100} = \frac{4}{25} \)
- Decimal: To convert 16% to a decimal, divide by 100:
- \( 16\% = \frac{16}{100} = 0.16 \)
- Percent: Already given as 16%.
Answer for Row 4:
- Fraction: \( \frac{4}{25} \)
- Decimal: 0.16
- Percent: 16%
- Fraction: We need to find the fraction that corresponds to the decimal 0.61.
- \( 0.61 = \frac{61}{100} \)
- Decimal: Already given as 0.61.
- Percent: To convert 0.61 to a percent, multiply by 100:
- \( 0.61 \times 100 = 61\% \)
Answer for Row 5:
- Fraction: \( \frac{61}{100} \)
- Decimal: 0.61
- Percent: 61%
- Fraction: Already given as \( \frac{71}{100} \).
- Decimal: To convert \( \frac{71}{100} \) to a decimal:
- \( \frac{71}{100} = 0.71 \)
- Percent: To convert \( \frac{71}{100} \) to a percent:
- \( \frac{71}{100} \times 100 = 71\% \)
Answer for Row 6:
- Fraction: \( \frac{71}{100} \)
- Decimal: 0.71
- Percent: 71%
- Fraction: We need to find the fraction that corresponds to the decimal 3.68.
- \( 3.68 = \frac{368}{100} = \frac{92}{25} \)
- Decimal: Already given as 3.68.
- Percent: To convert 3.68 to a percent, multiply by 100:
- \( 3.68 \times 100 = 368\% \)
Answer for Row 7:
- Fraction: \( \frac{92}{25} \)
- Decimal: 3.68
- Percent: 368%
- Fraction: Already given as \( \frac{2}{5} \).
- Decimal: To convert \( \frac{2}{5} \) to a decimal:
- \( \frac{2}{5} = 0.4 \)
- Percent: To convert \( \frac{2}{5} \) to a percent:
- \( \frac{2}{5} \times 100 = 40\% \)
Answer for Row 8:
- Fraction: \( \frac{2}{5} \)
- Decimal: 0.4
- Percent: 40%
- Fraction: We need to find the fraction that corresponds to the percent 976%.
- \( 976\% = \frac{976}{100} = \frac{244}{25} \)
- Decimal: To convert 976% to a decimal, divide by 100:
- \( 976\% = \frac{976}{100} = 9.76 \)
- Percent: Already given as 976%.
Answer for Row 9:
- Fraction: \( \frac{244}{25} \)
- Decimal: 9.76
- Percent: 976%
- Fraction: Already given as \( \frac{5}{10} \).
- Decimal: To convert \( \frac{5}{10} \) to a decimal:
- \( \frac{5}{10} = 0.5 \)
- Percent: To convert \( \frac{5}{10} \) to a percent:
- \( \frac{5}{10} \times 100 = 50\% \)
Answer for Row 10:
- Fraction: \( \frac{5}{10} \)
- Decimal: 0.5
- Percent: 50%
\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
& \text{FRACTIONS} & \text{DECIMALS} & \text{PERCENTS} \\
\hline
1. & \frac{1}{2} & 0.5 & 50\% \\
\hline
2. & \frac{3}{50} & 0.06 & 6\% \\
\hline
3. & \frac{8}{100} & 0.08 & 8\% \\
\hline
4. & \frac{4}{25} & 0.16 & 16\% \\
\hline
5. & \frac{61}{100} & 0.61 & 61\% \\
\hline
6. & \frac{71}{100} & 0.71 & 71\% \\
\hline
7. & \frac{92}{25} & 3.68 & 368\% \\
\hline
8. & \frac{2}{5} & 0.4 & 40\% \\
\hline
9. & \frac{244}{25} & 9.76 & 976\% \\
\hline
10. & \frac{5}{10} & 0.5 & 50\% \\
\hline
\end{array}
}
\]
Row 1:
- Fraction: We need to find the fraction that corresponds to the decimal 0.5.
- \( 0.5 = \frac{5}{10} = \frac{1}{2} \)
- Decimal: Already given as 0.5.
- Percent: To convert 0.5 to a percent, multiply by 100:
- \( 0.5 \times 100 = 50\% \)
Answer for Row 1:
- Fraction: \( \frac{1}{2} \)
- Decimal: 0.5
- Percent: 50%
Row 2:
- Fraction: We need to find the fraction that corresponds to the percent 6%.
- \( 6\% = \frac{6}{100} = \frac{3}{50} \)
- Decimal: To convert 6% to a decimal, divide by 100:
- \( 6\% = \frac{6}{100} = 0.06 \)
- Percent: Already given as 6%.
Answer for Row 2:
- Fraction: \( \frac{3}{50} \)
- Decimal: 0.06
- Percent: 6%
Row 3:
- Fraction: Already given as \( \frac{8}{100} \).
- Decimal: To convert \( \frac{8}{100} \) to a decimal:
- \( \frac{8}{100} = 0.08 \)
- Percent: To convert \( \frac{8}{100} \) to a percent:
- \( \frac{8}{100} \times 100 = 8\% \)
Answer for Row 3:
- Fraction: \( \frac{8}{100} \)
- Decimal: 0.08
- Percent: 8%
Row 4:
- Fraction: We need to find the fraction that corresponds to the percent 16%.
- \( 16\% = \frac{16}{100} = \frac{4}{25} \)
- Decimal: To convert 16% to a decimal, divide by 100:
- \( 16\% = \frac{16}{100} = 0.16 \)
- Percent: Already given as 16%.
Answer for Row 4:
- Fraction: \( \frac{4}{25} \)
- Decimal: 0.16
- Percent: 16%
Row 5:
- Fraction: We need to find the fraction that corresponds to the decimal 0.61.
- \( 0.61 = \frac{61}{100} \)
- Decimal: Already given as 0.61.
- Percent: To convert 0.61 to a percent, multiply by 100:
- \( 0.61 \times 100 = 61\% \)
Answer for Row 5:
- Fraction: \( \frac{61}{100} \)
- Decimal: 0.61
- Percent: 61%
Row 6:
- Fraction: Already given as \( \frac{71}{100} \).
- Decimal: To convert \( \frac{71}{100} \) to a decimal:
- \( \frac{71}{100} = 0.71 \)
- Percent: To convert \( \frac{71}{100} \) to a percent:
- \( \frac{71}{100} \times 100 = 71\% \)
Answer for Row 6:
- Fraction: \( \frac{71}{100} \)
- Decimal: 0.71
- Percent: 71%
Row 7:
- Fraction: We need to find the fraction that corresponds to the decimal 3.68.
- \( 3.68 = \frac{368}{100} = \frac{92}{25} \)
- Decimal: Already given as 3.68.
- Percent: To convert 3.68 to a percent, multiply by 100:
- \( 3.68 \times 100 = 368\% \)
Answer for Row 7:
- Fraction: \( \frac{92}{25} \)
- Decimal: 3.68
- Percent: 368%
Row 8:
- Fraction: Already given as \( \frac{2}{5} \).
- Decimal: To convert \( \frac{2}{5} \) to a decimal:
- \( \frac{2}{5} = 0.4 \)
- Percent: To convert \( \frac{2}{5} \) to a percent:
- \( \frac{2}{5} \times 100 = 40\% \)
Answer for Row 8:
- Fraction: \( \frac{2}{5} \)
- Decimal: 0.4
- Percent: 40%
Row 9:
- Fraction: We need to find the fraction that corresponds to the percent 976%.
- \( 976\% = \frac{976}{100} = \frac{244}{25} \)
- Decimal: To convert 976% to a decimal, divide by 100:
- \( 976\% = \frac{976}{100} = 9.76 \)
- Percent: Already given as 976%.
Answer for Row 9:
- Fraction: \( \frac{244}{25} \)
- Decimal: 9.76
- Percent: 976%
Row 10:
- Fraction: Already given as \( \frac{5}{10} \).
- Decimal: To convert \( \frac{5}{10} \) to a decimal:
- \( \frac{5}{10} = 0.5 \)
- Percent: To convert \( \frac{5}{10} \) to a percent:
- \( \frac{5}{10} \times 100 = 50\% \)
Answer for Row 10:
- Fraction: \( \frac{5}{10} \)
- Decimal: 0.5
- Percent: 50%
Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
& \text{FRACTIONS} & \text{DECIMALS} & \text{PERCENTS} \\
\hline
1. & \frac{1}{2} & 0.5 & 50\% \\
\hline
2. & \frac{3}{50} & 0.06 & 6\% \\
\hline
3. & \frac{8}{100} & 0.08 & 8\% \\
\hline
4. & \frac{4}{25} & 0.16 & 16\% \\
\hline
5. & \frac{61}{100} & 0.61 & 61\% \\
\hline
6. & \frac{71}{100} & 0.71 & 71\% \\
\hline
7. & \frac{92}{25} & 3.68 & 368\% \\
\hline
8. & \frac{2}{5} & 0.4 & 40\% \\
\hline
9. & \frac{244}{25} & 9.76 & 976\% \\
\hline
10. & \frac{5}{10} & 0.5 & 50\% \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of fractions into percents worksheet.