Name ____________________________________ Date _______________ Period _______ Multiplying Proper Fractions Use an area model to multiply the following. 1. 1 1 = _____ 4 5 2. 1 1 = _____ 2 6 3 7 = 10 10 3. Decimals: _____ x _____ = _____ 4. 6. 1 4 1 x = x 5 7 2 5. 4 9 x 2 3 x = 4 6 Billy had two-thirds of a pizza left after dinner. Later that night, he ate one-fourth of it for a snack. How much of the pizza did he eat for a snack? Answer _______________ 7. Three-fourths of the questions on the math test contain fractions. Half of those questions were addition. What fraction of the math test contained adding fractions? Answer _______________ 8. In Mr. Cranium’s math class, four-fifths of the students attempted the bonus problem. Half of those students got it correct. What fraction of the whole class got the problem correct? Answer _______________ 9. Six Flags Amusement Park has found that three-fifths of its customers rides the Colossus roller coaster. Of these, one-fourth rides it again. What fraction of the customers rides the roller coaster twice? Answer _______________ Solve the bonus MONSTER problem: 1 3 21 4 6 2 7 1 7 4 15 12 6 13 3 5 3 6 14 2 7 22 5 7 3 12 3 9 9 16 13 1 14 1 6 5 3 2 Name ____________________________________ Date _______________ Period _______ MULTIPLYING MIXED NUMBERS Notes -Multiplying Mixed Numbers Convert the mixed number to an improper fraction Reduce top to bottom if you can Multiply top times top (numerator x numerator) Multiply bottom times bottom (denominator x denominator) Write the answer in simplest form. Express each mixed number as an improper fraction. 1. 4 1 2 2. 5 5 7 3. 6 3 5 4. 1 5 8 5. Find each product. Write in simplest form. 6. 1 4 x3 5 7. 1 7 3 x3 9 4 9. 3 3 4 x1 8 9 10. 5 2 x6 11 7 12. 3 5 x4 8 13. 4x 8. 12 11. 7 2 5 Solve each equation. Write the solution in simplest form. 1 =y 2 14. 6x3 16. What is the value of 15. 2 a if a = 45 3 h= 1 1 x2 3 4 1 1 x 2 5 7 1 x5 8 3 8 3 4