Which of the following figures represents the product 2/5 × 3/4?
Figure D represents the product 2/5 × 3/4.
To find the product of two fractions, you multiply the numerators together and the denominators together. Thus, \( \frac{2}{5} \times \frac{3}{4} = \frac{2 \times 3}{5 \times 4} = \frac{6}{20} \), which simplifies to \( \frac{3}{10} \). Figure D accurately illustrates this product visually.
This figure does not correctly represent the product of \( \frac{2}{5} \times \frac{3}{4} \). The visual either depicts a different fraction or shows an incorrect area that does not correspond to \( \frac{6}{20} \) or its simplified form \( \frac{3}{10} \).
Figure B fails to accurately depict the product of \( \frac{2}{5} \times \frac{3}{4} \) as well. This representation may illustrate a different fraction, leading to a misunderstanding of the multiplication of these two specific fractions.
While this figure may represent a fraction, it does not correspond to the product of \( \frac{2}{5} \times \frac{3}{4} \). The area shown does not equate to \( \frac{6}{20} \) or \( \frac{3}{10} \), thus rendering it an incorrect choice.
This figure accurately represents the product of \( \frac{2}{5} \times \frac{3}{4} \). It visually corresponds to the area calculation that results in \( \frac{6}{20} \), confirming its correctness.
In multiplying fractions, visual representations can clarify the resulting product. Among the options, only Figure D correctly illustrates the outcome of \( \frac{2}{5} \times \frac{3}{4} \), confirming its identity as \( \frac{3}{10} \). The other figures misrepresent the fraction either by showing an incorrect area or failing to align with the expected product.
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