The note
How schools teach it now
Schools picture fractions with bar models and number lines and link the three forms: 1/4 = 0.25 = 25%. Children learn the key equivalents by heart (halves, quarters, fifths, tenths) and simplify by dividing the top and bottom by the same number.
5-minute kitchen-table activity
Cut a pizza or cake into 8 slices. What fraction is one slice? As a decimal? As a percentage? If three slices are eaten, what fraction is left? (5/8.)
Worked example
Put these in order, smallest first: 0.6, 3/4, 55%, 2/3
- Turn them all into percentages.
- 0.6 = 60% and 3/4 = 75%.
- 2/3 = 2 ÷ 3 = 0.666…, about 66.7%.
Answer: 55%, 0.6, 2/3, 3/4
Common mistakes to watch for
- Thinking a bigger denominator means a bigger fraction (1/8 is smaller than 1/4).
- Writing 0.3 as 3% (it's 30%).
- Comparing a fraction and a decimal without converting first.
Encouragement
- Try saying
- “Let's turn them all into the same kind, then compare.”
- Rather than
- “Fractions were always my worst subject too.”