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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.

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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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.

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.
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