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.