How to convert 21 4 into a mixed number?

9 answers

To convert the fraction \( \frac{21}{4} \) into a mixed number, follow these steps:

  1. Divide the numerator by the denominator:

    • Divide 21 by 4.
    • \( 21 \div 4 = 5 \) with a remainder.
  2. Calculate the remainder:

    • \( 4 \times 5 = 20 \)
    • \( 21 - 20 = 1 \)
    • The remainder is 1.
  3. Form the mixed number:

    • The whole number part is 5.
    • The remainder over the original denominator becomes the fractional part. So, this will be \( \frac{1}{4} \).

Putting it all together, \( \frac{21}{4} \) as a mixed number is \( 5 \frac{1}{4} \).

That is incorrect

I apologize for any confusion, but the conversion of \( \frac{21}{4} \) to a mixed number is indeed \( 5 \frac{1}{4} \).

Here’s the breakdown again:

  1. Divide 21 by 4.

    • \( 21 \div 4 = 5\) with a remainder of 1.
  2. Express as a mixed number:

    • The whole number is 5.
    • The remainder is 1, which goes over the original denominator of 4.

So, \( \frac{21}{4} = 5 \frac{1}{4} \).

If you have a specific part of the process that seems incorrect or you meant something different, please let me know, and I would be happy to clarify further!

You just did that

I apologize for the confusion in my previous responses. To clarify:

The conversion of the improper fraction \( \frac{21}{4} \) to a mixed number is indeed \( 5 \frac{1}{4} \).

Here’s the step-by-step explanation:

  1. Divide the numerator by the denominator:

    • \( 21 \div 4 = 5\) (whole number part)
  2. Find the remainder:

    • \( 4 \times 5 = 20 \)
    • \( 21 - 20 = 1 \) (remainder)
  3. Form the mixed number:

    • Combine the whole number part and the fraction made from the remainder:
    • The whole number is 5, and the remainder is \( 1 \) over the original denominator \( 4 \), giving us \( \frac{1}{4} \).

Thus, \( \frac{21}{4} \) as a mixed number is correctly expressed as \( 5 \frac{1}{4} \).

If there was another numerical conversion or a different operation you meant to ask about, please let me know!

I'm sorry but that is still incorrect

I apologize for any misunderstanding. Let's go through the conversion of \( \frac{21}{4} \) into a mixed number step by step again to ensure clarity.

  1. Divide the numerator by the denominator:

    • Calculate \( 21 \div 4 \).
    • The result is \( 5\) with a remainder.
  2. Calculate the whole number and the remainder:

    • \( 4 \times 5 = 20 \)
    • Subtract \( 20\) from \( 21\):
    • \( 21 - 20 = 1 \)
    • Thus, the whole number is \( 5\) and the remainder is \( 1\).
  3. Form the mixed number:

    • The whole number part is \( 5\).
    • The fractional part comes from the remainder, which is \( \frac{1}{4}\).

So, when combined, \( \frac{21}{4} \) as a mixed number is indeed \( 5 \frac{1}{4} \).

If you believe there is still an error or if you have a specific aspect you would like to address differently, please let me know. Thank you for your patience!

IM DONE YOU ARE DOING THE SAME THING OVER AND OVER AGAIN 😡

I sincerely apologize for any frustration my repeated explanations may have caused. I appreciate your patience and would like to address your concerns directly.

The conversion of the improper fraction \( \frac{21}{4} \) to a mixed number is indeed correct as follows:

  1. Divide 21 by 4:

    • The quotient is 5 with a remainder of 1, which means:
    • \( 21 = 5 \times 4 + 1 \).
  2. Mixed Number:

    • This gives a mixed number of \( 5 \frac{1}{4} \).

If you are looking for something different or if there's a specific question or step that I am misunderstanding, please clarify, and I will do my best to assist you correctly. Thank you for your understanding.

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