Relationship between percentages, fractions, and decimals

Convert between percentages, fractions, and decimals.

All objectives

Foundation

18 web questions

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  1. Convert $\frac{1}{2}$ to a decimal.
  2. Convert $\frac{1}{4}$ to a percentage.
  3. Convert $0.3$ to a percentage.
  4. Convert $25\%$ to a decimal.
  5. Convert $\frac{3}{4}$ to a decimal.
  6. Convert $\frac{1}{10}$ to a percentage.
  7. Convert $0.6$ to a fraction in simplest form.
  8. Convert $50\%$ to a fraction.
  9. Convert $0.8$ to a percentage.
  10. Convert $\frac{2}{5}$ to a decimal.
  11. Convert $75\%$ to a decimal.
  12. Convert $0.2$ to a fraction in simplest form.
  13. Convert $\frac{9}{10}$ to a percentage.
  14. Convert $40\%$ to a decimal.
  15. Convert $\frac{1}{5}$ to a decimal.
  16. Convert $0.05$ to a percentage.
  17. Which is greater: $\frac{1}{2}$ or $40\%$?
  18. Which is smaller: $0.7$ or $80\%$?

Proficient

18 web questions

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  1. Convert $\frac{3}{5}$ to a decimal and a percentage.
  2. Convert $\frac{7}{10}$ to a decimal and a percentage.
  3. Convert $0.45$ to a percentage and a fraction in simplest form.
  4. Convert $0.125$ to a percentage.
  5. Convert $62\%$ to a decimal.
  6. Convert $35\%$ to a fraction in simplest form.
  7. Convert $\frac{7}{20}$ to a decimal.
  8. Convert $\frac{9}{20}$ to a percentage.
  9. Convert $0.375$ to a fraction in simplest form.
  10. Convert $12.5\%$ to a decimal.
  11. Convert $\frac{11}{20}$ to a percentage.
  12. Convert $0.04$ to a fraction in simplest form.
  13. Fill in the blank: $\frac{3}{4}=0.\square=\square\%$.
  14. Fill in the blank: $0.6=\frac{\square}{5}=\square\%$.
  15. Are $0.25$, $25\%$, and $\frac{1}{4}$ equivalent?
  16. Are $\frac{2}{5}$ and $45\%$ equivalent?
  17. Put in ascending order: $30\%,\ \frac{1}{4},\ 0.4$.
  18. Explain in one short sentence how you turn a decimal into a percentage.

Excellence

18 web questions

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  1. A student says $0.35=35\%=\frac{35}{100}=\frac{7}{20}$. Are they correct? Explain.
  2. A student says $\frac{3}{8}=0.38=38\%$. Are they correct? Explain.
  3. Convert $87.5\%$ to a fraction in simplest form.
  4. Convert $\frac{13}{20}$ to a decimal and a percentage.
  5. Convert $0.625$ to a fraction in simplest form and a percentage.
  6. Which is greater: $65\%$ or $\frac{2}{3}$? Show enough working to justify.
  7. Which is smaller: $0.48$ or $\frac{1}{2}$? Explain.
  8. Fill in the blank: $\frac{\square}{8}=0.625=62.5\%$.
  9. Fill in the blank: $45\%=0.45=\frac{9}{\square}$.
  10. Fill in the blank: $0.2=20\%=\frac{\square}{\square}$ in simplest form.
  11. Put in descending order: $\frac{7}{10},\ 68\%,\ 0.72$.
  12. Put in ascending order: $12.5\%,\ \frac{1}{5},\ 0.18$.
  13. Which does not belong: $0.4,\ 40\%,\ \frac{4}{10},\ \frac{1}{5}$?
  14. Complete: a number equivalent to $\frac{3}{5}$ is as a percentage.
  15. Complete: a decimal equivalent to $125\%$ is .
  16. A test score was $18$ out of $24$. Write this as a fraction in simplest form, a decimal, and a percentage.
  17. A bottle is $0.75$ full. Write this as a fraction and a percentage.
  18. Explain why $\frac{1}{3}$ cannot be written as a terminating decimal even though it can be written as a percentage.