Grade 6 Fraction, Decimal & Percentage Worksheets | Math Worksheets - Free Printable

To solve this worksheet, we need to convert between fractions, decimals, and percentages. Here are the simple rules to remember:

1. Decimal to Percentage: Multiply by 100 (move the decimal point two places to the right) and add a `%` sign.
2. Percentage to Decimal: Divide by 100 (move the decimal point two places to the left).
3. Fraction to Decimal: Divide the top number by the bottom number.
4. Decimal to Fraction: Write the decimal as a fraction over 10 or 100, then simplify if possible.
5. Fraction to Percentage: Convert to a decimal first, then to a percentage.
6. Percentage to Fraction: Write the percentage over 100, then simplify.

Let's go through each row step-by-step.

Row 1: Given Decimal `0.88`
* To Percentage: $0.88 \times 100 = 88\%$
* To Fraction: $0.88$ is 88 hundredths, so $\frac{88}{100}$.
* Simplify: Both numbers can be divided by 4.
* $88 \div 4 = 22$
* $100 \div 4 = 25$
* Fraction: $\frac{22}{25}$

Row 2: Given Fraction $\frac{25}{100}$
* To Decimal: $25 \div 100 = 0.25$
* To Percentage: $0.25 \times 100 = 25\%$ (Or just look at the numerator since the denominator is 100).

Row 3: Given Percentage `35%`
* To Decimal: $35 \div 100 = 0.35$
* To Fraction: $\frac{35}{100}$.
* Simplify: Both end in 5 or 0, so divide by 5.
* $35 \div 5 = 7$
* $100 \div 5 = 20$
* Fraction: $\frac{7}{20}$

Row 4: Given Decimal `0.76`
* To Percentage: $0.76 \times 100 = 76\%$
* To Fraction: $\frac{76}{100}$.
* Simplify: Divide by 4.
* $76 \div 4 = 19$
* $100 \div 4 = 25$
* Fraction: $\frac{19}{25}$

Row 5: Given Decimal `0.45`
* To Percentage: $0.45 \times 100 = 45\%$
* To Fraction: $\frac{45}{100}$.
* Simplify: Divide by 5.
* $45 \div 5 = 9$
* $100 \div 5 = 20$
* Fraction: $\frac{9}{20}$

Row 6: Given Percentage `2%`
* To Decimal: $2 \div 100 = 0.02$ (Remember to add the zero placeholder).
* To Fraction: $\frac{2}{100}$.
* Simplify: Divide by 2.
* $2 \div 2 = 1$
* $100 \div 2 = 50$
* Fraction: $\frac{1}{50}$

Row 7: Given Fraction $\frac{9}{100}$
* To Decimal: $9 \div 100 = 0.09$
* To Percentage: $9\%$

Row 8: Given Decimal `0.86`
* To Percentage: $0.86 \times 100 = 86\%$
* To Fraction: $\frac{86}{100}$.
* Simplify: Divide by 2.
* $86 \div 2 = 43$
* $100 \div 2 = 50$
* Fraction: $\frac{43}{50}$

Row 9: Given Percentage `74%`
* To Decimal: $74 \div 100 = 0.74$
* To Fraction: $\frac{74}{100}$.
* Simplify: Divide by 2.
* $74 \div 2 = 37$
* $100 \div 2 = 50$
* Fraction: $\frac{37}{50}$

Row 10: Given Fraction $\frac{80}{100}$
* To Decimal: $80 \div 100 = 0.8$ (or $0.80$)
* To Percentage: $80\%$
* *Note: The fraction can also be simplified to $\frac{4}{5}$, but usually, worksheets like this accept the unsimplified version if it matches the decimal places.*

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Final Answer:

Here is the completed table with the missing values filled in:

| Fraction | Decimal | Percentage |
| :---: | :---: | :---: |
| 22/25 | 0.88 | 88% |
| 25/100 | 0.25 | 25% |
| 7/20 | 0.35 | 35% |
| 19/25 | 0.76 | 76% |
| 9/20 | 0.45 | 45% |
| 1/50 | 0.02 | 2% |
| 9/100 | 0.09 | 9% |
| 43/50 | 0.86 | 86% |
| 37/50 | 0.74 | 74% |
| 80/100 | 0.8 | 80% |