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Multiplication and Division of Two Fractions

Complete the test and get an award.

15 questions on multiplying and dividing fractions: products and quotients of two fractions, dividing a whole number by a unit fraction and a unit fraction by a whole number, deciding without calculating whether a product is smaller, expressions with brackets, and word problems. Two questions ask you to type the answer. Maximum score: 19 points.
Question 1 (1 point)
[tex]\frac{2}{5} \times \frac{3}{4} =[/tex]

Question 2 (1 point)
[tex]\frac{5}{12} \times \frac{6}{5} =[/tex]

Question 3 (1 point)
[tex]\frac{2}{3} \div \frac{4}{5} =[/tex]

Question 4 (1 point)
[tex]\frac{9}{10} \div \frac{3}{10} =[/tex]

Question 5 (1 point)
Which expression is equal to [tex]\frac{2}{3} \div \frac{5}{7}[/tex]?

Question 6 (1 point)
Without calculating, which product is less than [tex]\frac{7}{8}[/tex]?

Question 7 (1 point)
[tex]4 \div \frac{1}{3} =[/tex]

Question 8 (1 point)
[tex]\frac{1}{3} \div 4 =[/tex]

Question 9 (2 points)
Mia has [tex]\frac{3}{4}[/tex] lb of nuts. She puts them into bags that each hold [tex]\frac{1}{8}[/tex] lb. How many bags does she fill?
Answer:
Question 10 (1 point)
Which number goes in the box?
[tex]\boxed{\phantom{0}} \times \frac{2}{3} = \frac{4}{9}[/tex]

Question 11 (1 point)
Which statement is true?

Question 12 (1 point)
A rectangular tile is [tex]\frac{3}{4}[/tex] ft long and [tex]\frac{2}{3}[/tex] ft wide. What is its area in square feet?

Question 13 (2 points)
[tex]\frac{3}{2} \div \left(\frac{1}{4} + \frac{1}{2}\right) =[/tex]

Question 14 (2 points)
[tex]\frac{3}{10} \div \left(\frac{5}{6} + 1\right) =[/tex]

Question 15 (2 points)
Leo has a ribbon [tex]9[/tex] yd long. He uses [tex]\frac{1}{3}[/tex] of it to wrap a gift and cuts the rest into pieces [tex]\frac{3}{4}[/tex] yd long. How many pieces does he get?
Answer:

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