Fractions, Decimals and Percentages

Fractions, Decimals and Percentages

Choose the representation that makes the task transparent. Fractions show equal parts, decimals show place value, and percentages compare with 100. For common fractions, build equivalent fractions with denominators 10 or 100. For other fractions, divide numerator by denominator, then multiply a decimal by 100 for a percent.

Worked example

$\frac{3}{8}=3\div8=0.375=37.5\%$. The value stays the same; only its name changes.

Exam method

1. Identify the starting form. 2. Use an equivalence or division step. 3. Check that the final form represents the same amount, not a larger or smaller one.