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What is 4 out of 3 divided by -5

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Final answer:

To find 4 out of 3 divided by -5, you multiply the fraction 4/3 by the reciprocal of -5, which is -1/5, resulting in -4/15.

Step-by-step explanation:

The student's question is "What is 4 out of 3 divided by -5." To solve this, we can express the phrase "4 out of 3" as the fraction 4/3, and then divide this fraction by -5. When dividing fractions, we multiply by the reciprocal of the divisor. In this case, we multiply by the reciprocal of -5, which is -1/5.

Here is the calculation step-by-step:

  1. Write the division problem as a multiplication problem by finding the reciprocal of -5: (4/3) × (-1/5).
  2. Multiply the numerators: 4 × -1 = -4.
  3. Multiply the denominators: 3 × 5 = 15.
  4. Combine the results: -4/15.

Therefore, 4 out of 3 divided by -5 equals -4/15.

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