Which of the following figures represents the product 2/5 x 3/4?

Rationale

Figure C represents the product 2/5 x 3/4.

To find the product of 2/5 and 3/4, we multiply the numerators (2 and 3) to get 6 and the denominators (5 and 4) to get 20, resulting in 6/20, which simplifies to 3/10. Figure C accurately depicts this fraction, showing the correct area representation of the multiplied fractions.

A (Figure A) YOUR ANSWER

Figure A does not accurately represent the product of 2/5 and 3/4. It may show an incorrect area or fraction that does not correspond to 6/20 or its simplified form, 3/10. Thus, it fails to display the correct visual representation of the multiplication of these two fractions.

B (Figure B) YOUR ANSWER

Figure B also fails to represent the product of 2/5 and 3/4. Like Figure A, it might illustrate a different fraction or area that does not align with the expected result of 3/10. Therefore, it does not fulfill the requirement to visually depict the correct multiplication outcome.

D (Figure D) YOUR ANSWER

Figure D does not correctly illustrate the product of 2/5 and 3/4 either. It may represent a value that is either larger or smaller than the correct product of 3/10, leading to a misrepresentation of the area that results from multiplying these two fractions.

Conclusion

To conclude, Figure C is the only figure that accurately represents the product of 2/5 and 3/4, depicting the resulting fraction of 3/10. Figures A, B, and D do not fulfill this requirement, as they each misrepresent the visual outcome of the multiplication. Understanding how to accurately visualize fraction multiplication is crucial in grasping fraction concepts and their applications.

Which of the following figures represents the product 2/5 x 3/4?

Figure C represents the product 2/5 x 3/4.

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