How to convert 21 4 into a mixed number?

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 \( 5 \frac{1}{4} \).

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!

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 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!

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.