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🍕 Reasoning with Fractions, Decimals, and Percents

Fractions, decimals, and percents are three ways of saying the very same amount. Learn to switch between them, compare them, and use them to reason about sales, scores, and real-life shares.

3
lessons
~30 min
to learn
🔢 Math
subject
Ages 6–12
level
Start the course →

What you’ll learn

  1. Three Ways, One AmountRecognize that a fraction, decimal, and percent can name the same amount (e.g. 3/4 = 0.75 = 75%).Fractions, decimals, and percents are three languages for the same quantity. Three of four pizza slices is 3/4, which is 0.75, which is 75%. The denominator counts the equal parts and the numerator counts the ones you take. Learning common pairs like 1/2 = 50% and 1/4 = 25% makes switching forms automatic.
  2. Compare and ConvertConvert between forms and compare fractions, decimals, and percents using a number line and benchmarks.Every fraction has a spot on the number line that matches a decimal: 1/4, 1/2, and 3/4 land on 0.25, 0.5, and 0.75. Converting means finding hundredths (3/4 = 75/100 = 75%). A fast way to compare is checking whether a value beats the benchmark one half (0.5 or 50%).
  3. Reason in the Real WorldFind a percent of an amount and use conversions to reason about real-world comparisons.Percents run the real world. Benchmark percents unlock amounts: 50% is half, 25% is a quarter, 10% is a tenth, so 50% of 40 = 20. Real reasoning means converting to compare — half off $30 ($15) beats 25% off ($22.50), and a score of 18/20 (90%) beats 85%.

Questions this course answers

In the fraction 3/4, what does the bottom number (4) tell you?

The denominator (bottom) counts the equal parts the whole is split into.

Which value is LESS than one half?

1/4 = 0.25, which is below 0.5; the others are equal to or more than a half.

A $30 game is half off in one shop and 25% off in another. Which is cheaper?

Half off is 50% off = $15; 25% off = $22.50. Half off is cheaper.

Grounded in trusted sources

  • Khan Academy
  • NRICH — University of Cambridge
  • NCTM — teaching standards
  • Britannica Kids

Every Wunder lesson is built from real, reputable sources — never invented.

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