Question 1

1/5 x 3/4 equals 3/20.

To find the product of 1/5 and 3/4, multiply the numerators together and the denominators together, resulting in 3/20.

A) 4/9

Option A is incorrect because multiplying 1/5 by 3/4 does not yield 4/9. The correct multiplication process does not support this result, as neither 4 nor 9 appear in the calculation of the product.

B) 4/20

Option B is incorrect. While the denominator is correct when simplifying, the numerator is not. The product of the numerators (1 and 3) is 3, not 4, making 4/20 an invalid result for this multiplication.

C) 3/9

Option C is also incorrect. The product 3/9 suggests an incorrect numerator, as the multiplication of 1/5 and 3/4 results in 3, but the denominator should not be 9. The correct denominator from the multiplication is 20, not 9.

D) 3/20

Option D is correct. When multiplying 1/5 and 3/4, the numerators (1 and 3) multiply to give 3, and the denominators (5 and 4) multiply to give 20, resulting in the correct answer of 3/20.

Conclusion

The correct answer, 3/20, is derived directly from the multiplication of the fractions 1/5 and 3/4. All other options fail to reflect the proper calculations, either through incorrect numerators or denominators, confirming that D is the definitive answer to the question.