Multiplying fractions

Multiply each fraction. Simplify where you can.

All objectives

Foundation

16 web questions

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  1. $\frac{1}{2}\times\frac{1}{3}$
  2. $\frac{2}{3}\times\frac{1}{4}$
  3. $\frac{3}{5}\times\frac{1}{2}$
  4. $\frac{1}{4}\times\frac{2}{7}$
  5. $\frac{3}{4}\times\frac{2}{3}$
  6. $\frac{2}{5}\times\frac{3}{4}$
  7. $\frac{4}{5}\times\frac{1}{2}$
  8. $\frac{5}{6}\times\frac{2}{3}$
  9. $2\times\frac{1}{5}$
  10. $3\times\frac{2}{7}$
  11. $4\times\frac{3}{8}$
  12. $5\times\frac{1}{10}$
  13. $\frac{2}{9}\times\frac{3}{5}$
  14. $\frac{7}{8}\times\frac{2}{7}$
  15. $\frac{3}{10}\times\frac{5}{6}$
  16. $\frac{4}{9}\times\frac{3}{4}$

Proficient

18 web questions

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  1. $\frac{4}{7}\times\frac{3}{5}$
  2. $\frac{5}{8}\times\frac{4}{9}$
  3. $\frac{7}{10}\times\frac{5}{6}$
  4. $\frac{9}{11}\times\frac{2}{3}$
  5. $6\times\frac{5}{12}$
  6. $8\times\frac{3}{16}$
  7. $\frac{3}{4}\times\frac{8}{9}$
  8. $\frac{5}{6}\times\frac{9}{10}$
  9. $\frac{7}{12}\times\frac{6}{7}$
  10. $\frac{11}{15}\times\frac{5}{22}$
  11. Fill in the blank: $\frac{2}{3}\times\frac{\square}{5}=\frac{8}{15}$
  12. Fill in the blank: $\frac{\square}{4}\times\frac{2}{3}=\frac{1}{2}$
  13. Is $\frac{2}{5}\times\frac{3}{4}=\frac{6}{20}$ correct?
  14. Is $3\times\frac{2}{9}=\frac{6}{9}$ correct?
  15. Which is greater: $\frac{2}{3}\times\frac{3}{5}$ or $\frac{3}{4}\times\frac{2}{5}$?
  16. $\frac{4}{15}\times\frac{5}{8}$
  17. $\frac{13}{14}\times\frac{7}{13}$
  18. Explain in one short sentence why multiplying by $\frac{1}{2}$ makes a positive number smaller.

Excellence

16 web questions

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  1. $1\frac{1}{2}\times\frac{2}{3}$
  2. $2\frac{1}{4}\times\frac{4}{9}$
  3. $\frac{5}{6}\times\frac{9}{20}$
  4. $\frac{7}{12}\times\frac{18}{21}$
  5. A student says $\frac{3}{4}\times\frac{2}{5}=\frac{5}{8}$. Are they correct? Explain.
  6. A recipe uses $\frac{3}{4}$ of a cup of milk per batch. You make $\frac{2}{3}$ of a batch. How much milk is needed?
  7. Find a fraction so that $\frac{3}{5}\times\square=\frac{9}{20}$.
  8. Fill in both blanks: $\frac{\square}{6}\times\frac{3}{4}=\frac{5}{8}$.
  9. Which is greater: $\frac{5}{6}\times\frac{3}{10}$ or $\frac{2}{3}\times\frac{3}{8}$? Show enough working to justify.
  10. Is $\frac{4}{9}\times\frac{3}{8}=\frac{12}{72}=\frac{1}{6}$ correct? Explain.
  11. A strip is $\frac{5}{6}$ m long. You use $\frac{3}{5}$ of it. How many metres is that?
  12. Complete: if $\frac{2}{7}\times\frac{m}{3}=\frac{4}{21}$, then $m=@@HTML0@@$.
  13. Write $3\times\frac{4}{15}$ as a single simplified fraction.
  14. A tank is $\frac{7}{8}$ full and then $\frac{2}{3}$ of that water remains. What fraction of the whole tank remains?
  15. Which does not belong: $\frac{1}{2}\times\frac{2}{3}$, $\frac{2}{3}\times\frac{1}{2}$, $\frac{3}{4}\times\frac{4}{9}$, $\frac{5}{6}\times\frac{1}{2}$?
  16. Explain why $\frac{4}{5}\times\frac{3}{4}$ can be simplified before multiplying.