13) Write, and solve the product of two fractions as illustrated in the figure below. Make sure to connect your solution to what is shown in the drawing.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem 13:** Write and solve the product of two fractions as illustrated in the figure below. Make sure to connect your solution to what is shown in the drawing.

The diagram consists of a grid with 5 rows and 6 columns, creating a total of 30 small squares.

- The first two rows are shaded in orange, indicating two out of five rows, which represents the fraction \( \frac{2}{5} \).
- The first three columns of the last two rows are shaded in purple, indicating three out of six columns, which represents the fraction \( \frac{3}{6} \).

The overlapping area, where the orange and purple shading intersect, covers 6 squares.

The expression to fill in is:

\[ \frac{2}{5} \times \frac{3}{6} = \frac{6}{30} \]

The solution shows that both fractions overlap in 6 of the total 30 squares, simplifying to \( \frac{1}{5} \).
Transcribed Image Text:**Problem 13:** Write and solve the product of two fractions as illustrated in the figure below. Make sure to connect your solution to what is shown in the drawing. The diagram consists of a grid with 5 rows and 6 columns, creating a total of 30 small squares. - The first two rows are shaded in orange, indicating two out of five rows, which represents the fraction \( \frac{2}{5} \). - The first three columns of the last two rows are shaded in purple, indicating three out of six columns, which represents the fraction \( \frac{3}{6} \). The overlapping area, where the orange and purple shading intersect, covers 6 squares. The expression to fill in is: \[ \frac{2}{5} \times \frac{3}{6} = \frac{6}{30} \] The solution shows that both fractions overlap in 6 of the total 30 squares, simplifying to \( \frac{1}{5} \).
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