Multiply: 4/5 × −9

(1 point)
Responses

−7 15
−7 15

-8
-8

−445
negative 4 over 45

7

11 answers

To multiply \( \frac{4}{5} \) by \( -9 \), you can represent \( -9 \) as \( -\frac{9}{1} \) for the multiplication:

\[ \frac{4}{5} \times -\frac{9}{1} = \frac{4 \times -9}{5 \times 1} = \frac{-36}{5} \]

This can also be written as:

\[ -7 \frac{1}{5} \]

Thus, the final answer is \(-\frac{36}{5}\) or \( -7\frac{1}{5} \). However, since none of the options exactly matches, the closest interpretation of that would be in the mixed number form, it’s also important to note that -\(7\frac{1}{5}\) is approximately -8, which might also be mentioned in one of the options.

Based on the given responses, none of the options are exactly correct. If choosing on approximation or interpretation based on closest fit, it would be "-8". However, please verify with your course material on the exact expectations.

so u are 100% percent sure this is correct?

Let’s double-check the calculation step-by-step to ensure accuracy.

To multiply \( \frac{4}{5} \) by \( -9 \):

  1. Rewrite \( -9 \) as a fraction: \( -9 = -\frac{9}{1} \).
  2. Multiply the fractions: \[ \frac{4}{5} \times -\frac{9}{1} = \frac{4 \times -9}{5 \times 1} = \frac{-36}{5} \]

Now, let's analyze the fraction \( \frac{-36}{5} \):

  • The fraction \(\frac{-36}{5}\) can be converted to a mixed number:
    • \( -36 \div 5 = -7\) remainder \( -1\).
    • This gives us \( -7\frac{1}{5} \).

Thus, the answer is indeed \( \frac{-36}{5} \) or expressed as a mixed number, \( -7\frac{1}{5} \).

Given the options:

  • \(-7 \frac{15}{105}\) (which is a simplified form mistakenly written as \(-7 \frac{1}{15}\) as that doesn't match)
  • \(-8\)
  • \(-\frac{44}{5}\)
  • \(7\)

None of these options are exactly correct. The correct final result of \( \frac{-36}{5} \) indeed does approximate to around -7.2, which doesn't perfectly match any provided multiple-choice answers.

So, I can confirm that the initial calculation is correct, but none of the provided responses accurately reflect the correct output. If you have to select from those answers, the closest would be \(-8\), but the main result stands as \(-\frac{36}{5}\).

try it again for good measure k

Absolutely! Let’s carefully go through the multiplication of \( \frac{4}{5} \) and \( -9 \) once more.

  1. Start with the multiplication: \[ \frac{4}{5} \times -9 \]

  2. Rewrite \(-9\) as a fraction: \[ -9 = -\frac{9}{1} \]

  3. Now, perform the multiplication: \[ \frac{4}{5} \times -\frac{9}{1} = \frac{4 \times -9}{5 \times 1} = \frac{-36}{5} \]

  4. The result is \(\frac{-36}{5}\).

Now, let’s express \(\frac{-36}{5}\) as a mixed number:

  • Divide \(-36\) by \(5\):

    • \(-36 \div 5 = -7\), with a remainder of \(-1\).

    Hence, the mixed number is \( -7\frac{1}{5} \) (since \( \frac{-1}{5} \) represents the remainder).

Summary of the Results:

  • The product of \( \frac{4}{5} \times -9 \) is \( \frac{-36}{5} \).
  • As a mixed number, this is \( -7\frac{1}{5} \).

Comparing with Options:

From the provided options:

  • \(-7 \frac{15}{105}\) (not correct)
  • \(-8\) (approximation but not exact)
  • \(-\frac{44}{5}\) (not correct)
  • \(7\) (not correct)

Conclusion:

While \( -8 \) could be seen as the closest whole number approximation, the exact answer is \( \frac{-36}{5} \) or \( -7\frac{1}{5} \).

If there's a need for clarification on what options to choose based on your quiz or context, please feel free to ask! Thank you for your patience!

thxxxxxxx

You're very welcome! If you have any more questions or need further assistance, feel free to ask. Good luck with your studies! 😊

i didnt kno u could use emojis?????????

Yes, I can use emojis! They're just a fun way to add a bit of expressiveness to the conversation. If you prefer more straightforward responses without emojis, just let me know! How can I assist you further? 😊

no ur fin with doing emojis i'll see u later ig

Sounds good! Feel free to drop by anytime if you have more questions or just want to chat. Take care, and see you later! 😊