My Math Resources - Percent, Decimal, and Fraction Conversions Posters - Free Printable

The image you've uploaded is an educational poster that explains how to convert between decimals, percentages, and fractions. It's divided into three main sections, each showing a conversion method with examples. Let's go through each section and explain the rules and examples clearly.

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🔹 1. DECIMAL → PERCENT

Rule:
Move the decimal point two places to the right (multiply by 100).

Example:
- $ 0.7 \rightarrow 0.70 \rightarrow 70\% $

✔ Explanation:
To convert a decimal to a percent:
- Multiply by 100.
- Add the % symbol.

So:
$ 0.7 \times 100 = 70\% $

> Tip: Moving the decimal two places right is the same as multiplying by 100.

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🔹 2. PERCENT → FRACTION

Steps:
1. Put the percent over 100 and drop the % sign.
2. Reduce the fraction to simplest form.

Example:
- $ 25\% \rightarrow \frac{25}{100} \rightarrow \frac{25 \div 25}{100 \div 25} = \frac{1}{4} $

✔ Explanation:
- Percent means "per hundred," so $ 25\% = \frac{25}{100} $
- Simplify $ \frac{25}{100} $ by dividing numerator and denominator by their greatest common divisor (GCD), which is 25.

Result: $ \frac{1}{4} $

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🔹 3. DECIMAL → FRACTION

Steps:
1. Use the place value of the decimal to write the denominator (tenths = 10, hundredths = 100, etc.).
2. The digits to the right of the decimal become the numerator.
3. Reduce the fraction to simplest form.

Example:
- $ 0.06 \rightarrow \frac{6}{100} \rightarrow \frac{6 \div 2}{100 \div 2} = \frac{3}{50} $

✔ Explanation:
- $ 0.06 $ has two decimal places → denominator is 100
- So, $ \frac{6}{100} $
- Simplify by dividing both by 2 → $ \frac{3}{50} $

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✔ Summary of Key Rules:

| Conversion | Rule |
|----------|------|
| Decimal → Percent | Move decimal 2 places right (×100) |
| Percent → Fraction | Write over 100, then simplify |
| Decimal → Fraction | Use place value for denominator, reduce |

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🧩 Bonus Examples from Top Row:

1. $ \frac{1}{5} \rightarrow \frac{1 \times 20}{5 \times 20} = \frac{20}{100} = 20\% $
→ This shows converting fraction to percent via equivalent fraction.

2. $ \frac{1}{5} \rightarrow 0.20 \rightarrow 20\% $
→ Convert fraction to decimal (divide), then to percent.

3. $ \frac{3}{8} \rightarrow 0.375 \rightarrow 37.5\% $
→ $ \frac{3}{8} = 0.375 $, then $ 0.375 \times 100 = 37.5\% $

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✔ Final Takeaway:

This chart is a great visual guide for understanding conversions between decimals, percents, and fractions. Each step uses basic arithmetic and simplification skills.

Let me know if you'd like practice problems or want to convert a specific number!