Multiply: 1/2 x 1 3/5 x 2 7/9 =

Rationale

1/2 x 1 3/5 x 2 7/9 equals 2 2/9.

To solve the multiplication, we first convert the mixed numbers to improper fractions: 1 3/5 becomes 8/5, and 2 7/9 becomes 25/9. Thus, the equation simplifies to (1/2) x (8/5) x (25/9), which results in 2 2/9 after performing the necessary multiplications and simplifying.

A (3 11/16) YOUR ANSWER

This option is incorrect because it does not accurately reflect the product of the three fractions. The calculations yield 2 2/9, and further simplification or conversion will not yield a result that matches 3 11/16.

B (2 2/9) CORRECT

This is the correct answer. By converting the mixed numbers to improper fractions and multiplying them together, the final simplified product is indeed 2 2/9, confirming this choice as accurate.

C (2 21/90) YOUR ANSWER

This choice is incorrect as it represents a miscalculation. The correct process yields a product of 2 2/9, which is equivalent to 2 20/90 when converted to a fraction with a common denominator. Therefore, 2 21/90 is not the result of the multiplication.

D (20/9) YOUR ANSWER

While 20/9 is a fraction that is related to the multiplication process, it does not represent the final simplified result. The correct answer, 2 2/9, is the mixed number equivalent of 20/9, but it is important to present the answer in the correct format as specified in the question.

Conclusion

The multiplication of 1/2, 1 3/5, and 2 7/9 results in 2 2/9 when properly calculated. Each incorrect choice fails to represent the accurate product of these numbers, whether by miscalculation or misinterpretation of the final result. Understanding the conversion from mixed numbers to improper fractions is essential in arriving at the correct answer.

Multiply: 1/2 x 1 3/5 x 2 7/9 =

1/2 x 1 3/5 x 2 7/9 equals 2 2/9.

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