Securing understanding of multiplication with fractions

12 questions

1. What is the product of 12 and 3?
2. What fraction of the rectangle is shaded?
3. What calculation is represented by the area of the rectangle shaded?
4. Calculate {2}\over{3} × {4}\over{5}.
5. Calculate {2}\over{3} × {3}\over{5} × {1}\over{4}.
6. Calculate {3}\over{5} × {5}\over{9} × {3}\over{4}, give your answer in its simplest form. Try to simplify before calculating.
7. A prime number has exactly ___ factors.
8. Which of the following will be less than 8?
9. {1}\over{7} × {1}\over{8}is ___ than {1}\over{6} × {1}\over{8}.
10. Using this fact, {8}\over{76} × {36}\over{150} = {144}\over{5700}, which of the following are true?
11. Calculate 25 × {3}\over{5} × {5}\over{6}. Give you answer as a mixed number.
12. Calculate {28}\over{63} × {105}\over{1155} by writing each numerator and denominator as a product of its prime factors.

License: OGL