Question 10

2/3 x 3/5 = 2/5

Multiplying the fractions 2/3 and 3/5 results in 2/5. This is achieved by multiplying the numerators together and the denominators together, leading to the calculation (2 x 3) / (3 x 5).

A) 3/4

Option A is incorrect because 3/4 does not represent the result of multiplying 2/3 by 3/5. The multiplication of these fractions yields a smaller value, as both fractions are less than 1.

B) 1/3

Option B is incorrect as well; 1/3 does not correspond to the product of 2/3 and 3/5. The actual multiplication gives a different value than what is represented by this option.

C) 2/5

Option C is correct because it accurately reflects the result of the multiplication of 2/3 and 3/5. The calculation leads to (2 x 3) / (3 x 5) = 6/15, which simplifies to 2/5.

D) 11/9

Option D is incorrect since 11/9 is greater than 1 and does not relate to the multiplication of two fractions that are both less than 1. The result of 2/3 multiplied by 3/5 cannot exceed 1.

Conclusion

The choice of 2/5 is confirmed as the correct answer due to the proper application of fraction multiplication rules, which yield a product that simplifies correctly. All other options do not meet the criteria for the result of this mathematical operation, demonstrating an understanding of fraction multiplication and simplification.