Grade 6 worksheet on converting fractions, decimals, and percents with fill-in-the-blank exercises.
Worksheet titled "Fractions, decimals and percents" for Grade 6, featuring a table to convert between fractions, decimals, and percentages.
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Show Answer Key & Explanations
Step-by-step solution for: Fractions, decimals and percents worksheets | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Fractions, decimals and percents worksheets | Worsheets library
To solve the problem, we need to fill in the missing numbers in the table by converting between fractions, decimals, and percents. Let's go through each row step by step.
- Fraction: \( \frac{3}{100} \)
- Decimal: 0.03
- Percent: 3%
This is already filled correctly:
- Fraction: \( \frac{3}{100} \)
- Decimal: 0.03
- Percent: 3%
- Fraction: ?
- Decimal: 0.47
- Percent: ?
#### Step 1: Convert Decimal to Fraction
The decimal 0.47 can be written as \( \frac{47}{100} \).
#### Step 2: Convert Decimal to Percent
To convert 0.47 to a percent, multiply by 100:
\[ 0.47 \times 100 = 47\% \]
So, the completed row is:
- Fraction: \( \frac{47}{100} \)
- Decimal: 0.47
- Percent: 47%
- Fraction: ?
- Decimal: ?
- Percent: 86%
#### Step 1: Convert Percent to Decimal
To convert 86% to a decimal, divide by 100:
\[ 86\% \div 100 = 0.86 \]
#### Step 2: Convert Percent to Fraction
86% can be written as \( \frac{86}{100} \). Simplify the fraction:
\[ \frac{86}{100} = \frac{43}{50} \]
So, the completed row is:
- Fraction: \( \frac{43}{50} \)
- Decimal: 0.86
- Percent: 86%
- Fraction: ?
- Decimal: 0.25
- Percent: ?
#### Step 1: Convert Decimal to Fraction
The decimal 0.25 can be written as \( \frac{25}{100} \). Simplify the fraction:
\[ \frac{25}{100} = \frac{1}{4} \]
#### Step 2: Convert Decimal to Percent
To convert 0.25 to a percent, multiply by 100:
\[ 0.25 \times 100 = 25\% \]
So, the completed row is:
- Fraction: \( \frac{1}{4} \)
- Decimal: 0.25
- Percent: 25%
- Fraction: \( \frac{31}{100} \)
- Decimal: ?
- Percent: ?
#### Step 1: Convert Fraction to Decimal
The fraction \( \frac{31}{100} \) is already in a form that directly converts to a decimal:
\[ \frac{31}{100} = 0.31 \]
#### Step 2: Convert Fraction to Percent
To convert \( \frac{31}{100} \) to a percent, multiply by 100:
\[ \frac{31}{100} \times 100 = 31\% \]
So, the completed row is:
- Fraction: \( \frac{31}{100} \)
- Decimal: 0.31
- Percent: 31%
- Fraction: ?
- Decimal: ?
- Percent: 65%
#### Step 1: Convert Percent to Decimal
To convert 65% to a decimal, divide by 100:
\[ 65\% \div 100 = 0.65 \]
#### Step 2: Convert Percent to Fraction
65% can be written as \( \frac{65}{100} \). Simplify the fraction:
\[ \frac{65}{100} = \frac{13}{20} \]
So, the completed row is:
- Fraction: \( \frac{13}{20} \)
- Decimal: 0.65
- Percent: 65%
- Fraction: \( \frac{33}{100} \)
- Decimal: ?
- Percent: ?
#### Step 1: Convert Fraction to Decimal
The fraction \( \frac{33}{100} \) is already in a form that directly converts to a decimal:
\[ \frac{33}{100} = 0.33 \]
#### Step 2: Convert Fraction to Percent
To convert \( \frac{33}{100} \) to a percent, multiply by 100:
\[ \frac{33}{100} \times 100 = 33\% \]
So, the completed row is:
- Fraction: \( \frac{33}{100} \)
- Decimal: 0.33
- Percent: 33%
- Fraction: \( \frac{2}{5} \)
- Decimal: ?
- Percent: ?
#### Step 1: Convert Fraction to Decimal
Divide the numerator by the denominator:
\[ \frac{2}{5} = 0.4 \]
#### Step 2: Convert Fraction to Percent
To convert \( \frac{2}{5} \) to a percent, multiply by 100:
\[ \frac{2}{5} \times 100 = 40\% \]
So, the completed row is:
- Fraction: \( \frac{2}{5} \)
- Decimal: 0.4
- Percent: 40%
- Fraction: ?
- Decimal: 0.05
- Percent: ?
#### Step 1: Convert Decimal to Fraction
The decimal 0.05 can be written as \( \frac{5}{100} \). Simplify the fraction:
\[ \frac{5}{100} = \frac{1}{20} \]
#### Step 2: Convert Decimal to Percent
To convert 0.05 to a percent, multiply by 100:
\[ 0.05 \times 100 = 5\% \]
So, the completed row is:
- Fraction: \( \frac{1}{20} \)
- Decimal: 0.05
- Percent: 5%
- Fraction: ?
- Decimal: ?
- Percent: 87%
#### Step 1: Convert Percent to Decimal
To convert 87% to a decimal, divide by 100:
\[ 87\% \div 100 = 0.87 \]
#### Step 2: Convert Percent to Fraction
87% can be written as \( \frac{87}{100} \).
So, the completed row is:
- Fraction: \( \frac{87}{100} \)
- Decimal: 0.87
- Percent: 87%
- Fraction: ?
- Decimal: 0.53
- Percent: ?
#### Step 1: Convert Decimal to Fraction
The decimal 0.53 can be written as \( \frac{53}{100} \).
#### Step 2: Convert Decimal to Percent
To convert 0.53 to a percent, multiply by 100:
\[ 0.53 \times 100 = 53\% \]
So, the completed row is:
- Fraction: \( \frac{53}{100} \)
- Decimal: 0.53
- Percent: 53%
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percent} \\
\hline
\frac{3}{100} & 0.03 & 3\% \\
\frac{47}{100} & 0.47 & 47\% \\
\frac{43}{50} & 0.86 & 86\% \\
\frac{1}{4} & 0.25 & 25\% \\
\frac{31}{100} & 0.31 & 31\% \\
\frac{13}{20} & 0.65 & 65\% \\
\frac{33}{100} & 0.33 & 33\% \\
\frac{2}{5} & 0.4 & 40\% \\
\frac{1}{20} & 0.05 & 5\% \\
\frac{87}{100} & 0.87 & 87\% \\
\frac{53}{100} & 0.53 & 53\% \\
\hline
\end{array}
}
\]
Row 1:
- Fraction: \( \frac{3}{100} \)
- Decimal: 0.03
- Percent: 3%
This is already filled correctly:
- Fraction: \( \frac{3}{100} \)
- Decimal: 0.03
- Percent: 3%
Row 2:
- Fraction: ?
- Decimal: 0.47
- Percent: ?
#### Step 1: Convert Decimal to Fraction
The decimal 0.47 can be written as \( \frac{47}{100} \).
#### Step 2: Convert Decimal to Percent
To convert 0.47 to a percent, multiply by 100:
\[ 0.47 \times 100 = 47\% \]
So, the completed row is:
- Fraction: \( \frac{47}{100} \)
- Decimal: 0.47
- Percent: 47%
Row 3:
- Fraction: ?
- Decimal: ?
- Percent: 86%
#### Step 1: Convert Percent to Decimal
To convert 86% to a decimal, divide by 100:
\[ 86\% \div 100 = 0.86 \]
#### Step 2: Convert Percent to Fraction
86% can be written as \( \frac{86}{100} \). Simplify the fraction:
\[ \frac{86}{100} = \frac{43}{50} \]
So, the completed row is:
- Fraction: \( \frac{43}{50} \)
- Decimal: 0.86
- Percent: 86%
Row 4:
- Fraction: ?
- Decimal: 0.25
- Percent: ?
#### Step 1: Convert Decimal to Fraction
The decimal 0.25 can be written as \( \frac{25}{100} \). Simplify the fraction:
\[ \frac{25}{100} = \frac{1}{4} \]
#### Step 2: Convert Decimal to Percent
To convert 0.25 to a percent, multiply by 100:
\[ 0.25 \times 100 = 25\% \]
So, the completed row is:
- Fraction: \( \frac{1}{4} \)
- Decimal: 0.25
- Percent: 25%
Row 5:
- Fraction: \( \frac{31}{100} \)
- Decimal: ?
- Percent: ?
#### Step 1: Convert Fraction to Decimal
The fraction \( \frac{31}{100} \) is already in a form that directly converts to a decimal:
\[ \frac{31}{100} = 0.31 \]
#### Step 2: Convert Fraction to Percent
To convert \( \frac{31}{100} \) to a percent, multiply by 100:
\[ \frac{31}{100} \times 100 = 31\% \]
So, the completed row is:
- Fraction: \( \frac{31}{100} \)
- Decimal: 0.31
- Percent: 31%
Row 6:
- Fraction: ?
- Decimal: ?
- Percent: 65%
#### Step 1: Convert Percent to Decimal
To convert 65% to a decimal, divide by 100:
\[ 65\% \div 100 = 0.65 \]
#### Step 2: Convert Percent to Fraction
65% can be written as \( \frac{65}{100} \). Simplify the fraction:
\[ \frac{65}{100} = \frac{13}{20} \]
So, the completed row is:
- Fraction: \( \frac{13}{20} \)
- Decimal: 0.65
- Percent: 65%
Row 7:
- Fraction: \( \frac{33}{100} \)
- Decimal: ?
- Percent: ?
#### Step 1: Convert Fraction to Decimal
The fraction \( \frac{33}{100} \) is already in a form that directly converts to a decimal:
\[ \frac{33}{100} = 0.33 \]
#### Step 2: Convert Fraction to Percent
To convert \( \frac{33}{100} \) to a percent, multiply by 100:
\[ \frac{33}{100} \times 100 = 33\% \]
So, the completed row is:
- Fraction: \( \frac{33}{100} \)
- Decimal: 0.33
- Percent: 33%
Row 8:
- Fraction: \( \frac{2}{5} \)
- Decimal: ?
- Percent: ?
#### Step 1: Convert Fraction to Decimal
Divide the numerator by the denominator:
\[ \frac{2}{5} = 0.4 \]
#### Step 2: Convert Fraction to Percent
To convert \( \frac{2}{5} \) to a percent, multiply by 100:
\[ \frac{2}{5} \times 100 = 40\% \]
So, the completed row is:
- Fraction: \( \frac{2}{5} \)
- Decimal: 0.4
- Percent: 40%
Row 9:
- Fraction: ?
- Decimal: 0.05
- Percent: ?
#### Step 1: Convert Decimal to Fraction
The decimal 0.05 can be written as \( \frac{5}{100} \). Simplify the fraction:
\[ \frac{5}{100} = \frac{1}{20} \]
#### Step 2: Convert Decimal to Percent
To convert 0.05 to a percent, multiply by 100:
\[ 0.05 \times 100 = 5\% \]
So, the completed row is:
- Fraction: \( \frac{1}{20} \)
- Decimal: 0.05
- Percent: 5%
Row 10:
- Fraction: ?
- Decimal: ?
- Percent: 87%
#### Step 1: Convert Percent to Decimal
To convert 87% to a decimal, divide by 100:
\[ 87\% \div 100 = 0.87 \]
#### Step 2: Convert Percent to Fraction
87% can be written as \( \frac{87}{100} \).
So, the completed row is:
- Fraction: \( \frac{87}{100} \)
- Decimal: 0.87
- Percent: 87%
Row 11:
- Fraction: ?
- Decimal: 0.53
- Percent: ?
#### Step 1: Convert Decimal to Fraction
The decimal 0.53 can be written as \( \frac{53}{100} \).
#### Step 2: Convert Decimal to Percent
To convert 0.53 to a percent, multiply by 100:
\[ 0.53 \times 100 = 53\% \]
So, the completed row is:
- Fraction: \( \frac{53}{100} \)
- Decimal: 0.53
- Percent: 53%
Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Fraction} & \text{Decimal} & \text{Percent} \\
\hline
\frac{3}{100} & 0.03 & 3\% \\
\frac{47}{100} & 0.47 & 47\% \\
\frac{43}{50} & 0.86 & 86\% \\
\frac{1}{4} & 0.25 & 25\% \\
\frac{31}{100} & 0.31 & 31\% \\
\frac{13}{20} & 0.65 & 65\% \\
\frac{33}{100} & 0.33 & 33\% \\
\frac{2}{5} & 0.4 & 40\% \\
\frac{1}{20} & 0.05 & 5\% \\
\frac{87}{100} & 0.87 & 87\% \\
\frac{53}{100} & 0.53 & 53\% \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of convert fraction to percent worksheet.