14 Questions
The answer is found by counting the number of sections that overlap between the two fractions (______ sections) and comparing it to the total number of sections in the big square.
three
To represent three-fourths (3/4), the area is divided into ______ and three sections are shaded, using horizontal lines for distinction.
fourths
The fractions are multiplied straight across (3 × 2 = 6 and 5 × 4 = 20) to check the accuracy of the area model ______.
method
Three-fifths (3/5) and two-fourths (2/4) are used as the next example, and the process is repeated with the area divided into fifths and ______, respectively.
fourths
The video covers two examples: three-fourths times one-third and three-fifths times two-fourths.
fraction
For the first example, Mr.J demonstrates creating an area model for ______-fourths by dividing a square into fourths and filling in ______ sections, then does the same for one-third by dividing the square into thirds and filling in one section.
three
The overlap of the two models determines the answer, resulting in a ratio of 3:______ or 1:4.
12
The text emphasizes the importance of area models in helping visualize the multiplication ______ and understanding the answers.
process
The answer is found by counting the number of sections that ______ between the two fractions and comparing it to the total number of sections in the big square.
overlap
What process does Mr.J explain in the text?
Division of fractions using area models
How is the answer determined using area models?
By counting the number of sections that overlap between the two fractions and comparing it to the total number of sections in the big square
What is the ratio resulting from the first example?
3:12
What is emphasized as important in the text?
Visualizing the multiplication process using area models
How is the second example different from the first?
It involves different fractions and results in a different ratio
Study Notes
- The text is about using area models to represent and solve multiplying fractions problems, specifically fractions times fractions.
- Three-fourths (3/4) and one-third (1/3) are used as examples to demonstrate the area model method.
- To represent three-fourths (3/4), the area is divided into fourths and three sections are shaded, using horizontal lines for distinction.
- One-third (1/3) is represented by dividing the area into thirds and shading one section, using diagonal lines for distinction.
- The answer is found by counting the number of sections that overlap between the two fractions (three sections) and comparing it to the total number of sections in the big square (twelve sections). The answer is simplified to one fourth (1/4).
- Three-fifths (3/5) and two-fourths (2/4) are used as the next example, and the process is repeated with the area divided into fifths and fourths, respectively.
- The answer is found by counting the number of sections that overlap (six sections) and comparing it to the total number of sections in the big square (20 sections).
- The fractions are multiplied straight across (3 × 2 = 6 and 5 × 4 = 20) to check the accuracy of the area model method.
Learn about using area models to solve multiplying fractions problems, specifically fractions times fractions. Understand how to represent fractions like three-fourths (3/4) and one-third (1/3) using area models and how to find the answer by counting the overlapping sections and comparing to the total number of sections.
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