standard_description: Interpret multiplication as scaling (resizing), by:
- Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n×a)/(n×b) to the effect of multiplying a/b by 1.
- Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
problem_activity: Problem 1
Solve. Show or explain your work.
a.
$${{1\over3} \div 2}$$
b.
$${{1\over4} \div 9}$$
Problem 2
Zach spends half of his workday tutoring students. If he sees 5 students and spends the same amount of time with each student, what fraction of his workday does he spend tutoring each student?


aligns: no