The Secret Lives of Fractions, Decimals and Percentages

Imagine you’ve just grabbed a slice of pizza and want to share the rest. You might say “half,” “0.5” or “50%,” but these are all just different ways to describe the same piece of pie. Fractions, decimals and percentages are three faces of one idea: part of a whole. Knowing how they connect can help you ace maths problems, shop smarter and even understand sports stats more deeply.

Where did this come from?

Believe it or not, the ancient Egyptians didn’t write fractions the way we do. They used special symbols for 1⁄2, 1⁄3 and 2⁄3, then broke every other fraction into a sum of distinct “unit fractions” like 1⁄4 + 1⁄5 + 1⁄6. Fast forward to 1585, and a Flemish engineer named Simon Stevin published a pamphlet showing how to write any fraction as a decimal—forever changing bookkeeping, science and navigation. As for percentages? Traders in the Middle Ages used “per cento” (Italian for “per hundred”) to calculate fees, and the name stuck.

Where you'll see this in real life

1. Cooking and baking: Recipes often call for ¾ cup or 0.75 cup, and sometimes list a 25% reduction in sugar for dietary tweaks. 2. Shopping discounts: A 30% off sale means you pay 0.70 of the original price. Converting quickly in your head can save you money—and time in checkout queues. 3. Bank interest and loans: Whether it’s a 1.5% monthly interest rate or a fraction of a point in a mortgage, decimals and percentages rule finance. 4. Sports stats and games: Batting averages, shooting percentages and win–loss records all lean on these formats to compare players and teams.

Tips for mastering conversions

• Fraction → Decimal: Divide the top number by the bottom. 3⁄8 becomes 3 ÷ 8 = 0.375. • Decimal → Percentage: Multiply by 100 and add a % sign. 0.08 × 100 = 8%. • Percentage → Fraction: Write over 100 and simplify. 45% = 45⁄100 = 9⁄20. • Practice spotting repeating decimals (like 1⁄3 = 0.333…) by long division. A little extra time now means faster mental maths later!