4 2/5 x 2 2/3 =

Rationale

4 2/5 x 2 2/3 equals 11 11/15.

To solve the multiplication of mixed numbers, convert them into improper fractions first. The calculation results in the product being 11 11/15, confirming that this is the correct answer.

A (11 11/15) CORRECT

This option is the result of converting the mixed numbers 4 2/5 and 2 2/3 into improper fractions (22/5 and 8/3, respectively), multiplying them (22/5 x 8/3 = 176/15), and converting back to a mixed number, which simplifies to 11 11/15.

B (10 13/30) YOUR ANSWER

This choice incorrectly represents the result of the multiplication. It may stem from an error in either the multiplication or the conversion process of the mixed numbers, leading to an incorrect fraction that does not match the actual product.

C (8 1/2) YOUR ANSWER

This answer is not accurate as it greatly underestimates the multiplication of the two mixed numbers. The product of 4 2/5 and 2 2/3 is significantly larger than 8 1/2, indicating a fundamental miscalculation.

D (6 4/15) YOUR ANSWER

This option also misrepresents the multiplication result. It suggests a product lower than what is obtained, possibly due to an incorrect approach in either fraction conversion or multiplication.

E (None of the Above) YOUR ANSWER

This choice is incorrect because one of the options—11 11/15—correctly represents the product of the multiplication. Therefore, this option does not apply.

Conclusion

The multiplication of the mixed numbers 4 2/5 and 2 2/3 accurately results in 11 11/15, validated by the proper conversion to improper fractions and multiplication. The other choices reflect common errors in mathematical operations, emphasizing the importance of careful calculation and conversion in obtaining the correct result.

4 2/5 x 2 2/3 =

4 2/5 x 2 2/3 equals 11 11/15.

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