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Convert percentages to decimals and fractions on this educational worksheet.

Worksheet titled "Fraction Decimal Percentage" with a table to convert percentages into decimals and fractions, featuring a cartoon doctor illustration.

Worksheet titled "Fraction Decimal Percentage" with a table to convert percentages into decimals and fractions, featuring a cartoon doctor illustration.

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Show Answer Key & Explanations Step-by-step solution for: Grade 6 Fraction, Decimal & Percentage Worksheets | Math Worksheets
To solve the problem, we need to convert each given percentage into its decimal and fractional forms. Let's go through each step systematically.

Conversion Process:


1. From Percentage to Decimal: Divide the percentage by 100.
2. From Percentage to Fraction: Write the percentage as a fraction over 100, then simplify if possible.

Given Percentages:


- 90%
- 70%
- 35%
- 64%
- 52%
- 58%
- 97%
- 63%
- 11%
- 16%

Step-by-Step Solution:



#### 1. 90%
- Decimal: \( \frac{90}{100} = 0.90 \)
- Fraction: \( \frac{90}{100} = \frac{9}{10} \) (simplified)

#### 2. 70%
- Decimal: \( \frac{70}{100} = 0.70 \)
- Fraction: \( \frac{70}{100} = \frac{7}{10} \) (simplified)

#### 3. 35%
- Decimal: \( \frac{35}{100} = 0.35 \)
- Fraction: \( \frac{35}{100} = \frac{7}{20} \) (simplified)

#### 4. 64%
- Decimal: \( \frac{64}{100} = 0.64 \)
- Fraction: \( \frac{64}{100} = \frac{16}{25} \) (simplified)

#### 5. 52%
- Decimal: \( \frac{52}{100} = 0.52 \)
- Fraction: \( \frac{52}{100} = \frac{13}{25} \) (simplified)

#### 6. 58%
- Decimal: \( \frac{58}{100} = 0.58 \)
- Fraction: \( \frac{58}{100} = \frac{29}{50} \) (simplified)

#### 7. 97%
- Decimal: \( \frac{97}{100} = 0.97 \)
- Fraction: \( \frac{97}{100} \) (already in simplest form)

#### 8. 63%
- Decimal: \( \frac{63}{100} = 0.63 \)
- Fraction: \( \frac{63}{100} \) (already in simplest form)

#### 9. 11%
- Decimal: \( \frac{11}{100} = 0.11 \)
- Fraction: \( \frac{11}{100} \) (already in simplest form)

#### 10. 16%
- Decimal: \( \frac{16}{100} = 0.16 \)
- Fraction: \( \frac{16}{100} = \frac{4}{25} \) (simplified)

Final Answer:


\[
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{9}{10} & 0.90 & 90\% \\
\frac{7}{10} & 0.70 & 70\% \\
\frac{7}{20} & 0.35 & 35\% \\
\frac{16}{25} & 0.64 & 64\% \\
\frac{13}{25} & 0.52 & 52\% \\
\frac{29}{50} & 0.58 & 58\% \\
\frac{97}{100} & 0.97 & 97\% \\
\frac{63}{100} & 0.63 & 63\% \\
\frac{11}{100} & 0.11 & 11\% \\
\frac{4}{25} & 0.16 & 16\% \\
\hline
\end{array}
\]

Thus, the completed table is:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percentage} \\
\hline
\frac{9}{10} & 0.90 & 90\% \\
\frac{7}{10} & 0.70 & 70\% \\
\frac{7}{20} & 0.35 & 35\% \\
\frac{16}{25} & 0.64 & 64\% \\
\frac{13}{25} & 0.52 & 52\% \\
\frac{29}{50} & 0.58 & 58\% \\
\frac{97}{100} & 0.97 & 97\% \\
\frac{63}{100} & 0.63 & 63\% \\
\frac{11}{100} & 0.11 & 11\% \\
\frac{4}{25} & 0.16 & 16\% \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 6th grade math percentages worksheet.
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