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.
$${{2\over3} }$$
of
$${{4\over5}}$$
b.
$${{4\over9}}\times \frac{5}{8}$$
Problem 2
A farmer’s land measures
$${{7\over8}}$$
of a mile long and
$${{4\over5}}$$
of a mile wide. What is the area, in square miles, of the farmer’s land?


aligns: yes