To multiply the given fractions graphically, follow these steps:
1. Start by drawing two rectangles side by side. Label the left rectangle as "Fraction 1" and the right rectangle as "Fraction 2".
2. Divide the left rectangle (Fraction 1) into 5 equal parts vertically. Each part represents one-fifth (the denominator of Fraction 1). Label these parts as "Parts: 5".
3. Leave the left rectangle (Fraction 1) completely unshaded for now, as it represents the numerator of Fraction 1, which is 1.
4. Divide the right rectangle (Fraction 2) into 3 equal parts vertically. Each part represents one-third (the denominator of Fraction 2). Label these parts as "Parts: 3".
5. Leave the right rectangle (Fraction 2) completely unshaded for now, as it represents the numerator of Fraction 2, which is 1.
6. Now, to model the multiplication of Fraction 1 and Fraction 2, you need to shade a portion of both rectangles.
7. Click on the plus button to shade one part of the left rectangle (Fraction 1). This represents the numerator of Fraction 1, which is 1.
8. Similarly, click on the plus button to shade one part of the right rectangle (Fraction 2). This represents the numerator of Fraction 2, which is 1.
9. Now, click on the "done" button to finish modeling the multiplication of the given fractions graphically.
10. The shaded area in the left rectangle (Fraction 1) represents the product of the numerator and the denominator of Fraction 1, which is 1/5. Similarly, the shaded area in the right rectangle (Fraction 2) represents the product of the numerator and the denominator of Fraction 2, which is 1/3.
11. The final step is to calculate the product of the two fractions. To do this, multiply the numerators together (1 x 1 = 1) and multiply the denominators together (5 x 3 = 15). Therefore, the product of one-fifth and one-third is 1/15.
By following these instructions and visually representing the fractions, you can accurately multiply the given fractions graphically.