Fraction, Decimal & Percent Conversion Chart

Let’s go step by step to understand how to convert between fractions, decimals, and percents — just like the chart shows.

We’ll use one example from each row to make sure we get it right.

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Example 1: Convert fraction 3/4 to decimal and percent

Step 1: To turn a fraction into a decimal, divide the top number (numerator) by the bottom number (denominator).
→ 3 ÷ 4 = 0.75

Step 2: To turn that decimal into a percent, move the decimal point two places to the right.
→ 0.75 → 75%

✔ So, 3/4 = 0.75 = 75%

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Example 2: Convert decimal 2.63 to percent and fraction

Step 1: To turn a decimal into a percent, move the decimal point two places to the right.
→ 2.63 → 263%

Step 2: To turn a decimal into a fraction:
- The whole number stays as is: 2
- The part after the decimal (0.63) becomes the numerator over 100 → 63/100
- So, 2.63 = 2 and 63/100 → written as 2 63/100 or as an improper fraction: (2×100 + 63)/100 = 263/100

Also, for 0.07:
→ Move decimal two places right → 7%
→ As a fraction: 7/100 (since 0.07 means 7 hundredths)

✔ So, 2.63 = 263% = 2 63/100
And 0.07 = 7% = 7/100

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Example 3: Convert percent 14% to decimal and fraction

Step 1: To turn a percent into a decimal, move the decimal point two places to the left.
→ 14% → 0.14
(Think of 14% as 14.0%, then move decimal left twice → 0.14)

Step 2: To turn percent into a fraction:
- First change percent to decimal: 14% = 0.14
- Then write 0.14 as 14/100
- Simplify if possible: 14 ÷ 2 = 7, 100 ÷ 2 = 50 → so 7/50

Also, 112.9%:
→ Move decimal left two places → 1.129
→ As a fraction: 1129/1000 (since 1.129 = 1129 thousandths)

✔ So, 14% = 0.14 = 7/50
And 112.9% = 1.129 = 1129/1000

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All conversions follow these simple rules:

🔹 Fraction → Decimal: Divide numerator by denominator
🔹 Decimal → Percent: Move decimal 2 places right
🔹 Percent → Decimal: Move decimal 2 places left
🔹 Decimal → Fraction: Use place value (tenths, hundredths, etc.)
🔹 Percent → Fraction: Turn to decimal first, then to fraction

You can always check your work by going back and forth!

Final Answer:
The chart correctly shows how to convert between fractions, decimals, and percents using division, moving the decimal point, and writing based on place value. For example:
- 3/4 = 0.75 = 75%
- 2.63 = 263% = 2 63/100
- 14% = 0.14 = 7/50