Fractions

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Understanding Fractions, Decimals & Percentages

Fractions, decimals, and percentages are three different ways of showing the SAME thing - parts of a whole. Being able to convert between them is essential for your GCSE exam.

Key Points:

A fraction shows parts of a whole: 3/4 means 3 parts out of 4
A decimal is another way to write a fraction: 0.75 = 75 hundredths
A percentage means "out of 100": 75% = 75 out of 100
To convert between them, remember: DIVIDE for fractions→decimals, MULTIPLY by 100 for decimals→percentages

Top Tips

  • Always show your working - marks are given for method!
  • Check your answer makes sense (e.g., 50% should be half)
  • When in doubt, use the fraction button on your calculator

Worked Examples

1Step 1: To convert fraction to decimal, divide numerator by denominator
2Step 2: 3 ÷ 5 = 0.6
3Step 3: To convert decimal to percentage, multiply by 100
4Step 4: 0.6 × 100 = 60%
Answer: 0.6 and 60%

🎬 Video Tutorials

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Fractions, Decimals & Percentages

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GCSE Maths Tutor - Converting between fractions, decimals and percentages clearly explained.

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FDP Conversions Made Simple

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Addvance Maths - Easy method to convert between all three forms.

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Fractions Decimals Percentages Revision

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Maths Genie - Complete GCSE revision with practice questions.

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Rules to Follow

💡 Click on any rule to see more details!

Fraction to Decimal

Divide the top number (numerator) by the bottom nu...

Decimal to Percentage

Multiply by 100 and add the % sign. Example: 0.45 ...

Percentage of Amount

Divide by 100, then multiply by the amount. Exampl...

Simplify Fractions

Divide top and bottom by the same number (highest ...

Common Trap

When converting 3/4 to decimal, don't write 3.4! A...