How can you rewrite 9 1/3

Question

using a root

Answer 1

To rewrite \( 9 \frac{1}{3} \) using a root, you first need to convert the mixed number into an improper fraction.

1. Convert \( 9 \frac{1}{3} \) to an improper fraction: \[ 9 \frac{1}{3} = \frac{9 \times 3 + 1}{3} = \frac{27 + 1}{3} = \frac{28}{3} \]

2. Now, to express this fraction using a root, you can manipulate it as follows:

   • First, find a way to represent \( 28 \) as a root. You can write \( 28 \) as \( 16 + 12 \), or you can express it more simply.
   • Notice that \( 28 \) can be expressed as \( \sqrt{784} \) since \( 784 \) is \( 28^2 \).

Thus, we can rewrite \( \frac{28}{3} \) as: \[ \frac{\sqrt{784}}{3} \]

Alternatively, if you're looking for a simpler expression, you can also factor \( 28 \): \[ 28 = 4 \times 7 \] This means it can also be written as: \[ \frac{2\sqrt{7}}{3} \]

However, for a more straightforward expression, the previous form works well.

So, \( 9 \frac{1}{3} \) can be rewritten as: \[ \frac{\sqrt{784}}{3} \] or \(\frac{2\sqrt{7}}{3}\) depending on the context you desire!

Answer 2

just the answer pls

Answer 3

\( 9 \frac{1}{3} = \frac{\sqrt{784}}{3} \)

Answer 4

so 9 1/3 is 784/3

Answer 5

I apologize for the confusion in my previous response. The correct expression for \( 9 \frac{1}{3} \) is:

\( 9 \frac{1}{3} = \frac{28}{3} \).

The expression \( \frac{\sqrt{784}}{3} \) is equivalent to \( \frac{28}{3} \) since \( \sqrt{784} = 28 \).

So, to clarify:

• \( 9 \frac{1}{3} \) simplifies to \( \frac{28}{3} \).
• \( \frac{28}{3} = \frac{\sqrt{784}}{3} \).

Thank you for your patience!

Answer 6

so the answer is 28/3?

Answer 7

Yes, that's correct!

The mixed number \( 9 \frac{1}{3} \) is equal to \( \frac{28}{3} \).

Answer 8

it siad it was rong

Answer 9

I apologize for any confusion earlier. Let's clarify the conversion from the mixed number \( 9 \frac{1}{3} \) properly.

To convert \( 9 \frac{1}{3} \) to an improper fraction:

1. Multiply the whole number (9) by the denominator (3):
   \( 9 \times 3 = 27 \)

2. Add the numerator (1) to this result:
   \( 27 + 1 = 28 \)

3. Place that total over the original denominator (3):
   \( \frac{28}{3} \)

Thus, \( 9 \frac{1}{3} \) does indeed equal \( \frac{28}{3} \).

If you are tasked with rewriting \( 9 \frac{1}{3} \) in terms of a root, one possible presentation could be \( \frac{\sqrt{784}}{3} \) since \( \sqrt{784} = 28\).

If you received feedback stating this was incorrect, please verify the specific instruction or context for converting or rewriting. However, in mathematical terms, \( 9 \frac{1}{3} = \frac{28}{3} \) is accurate.

Answer 10

says its rong u sure its not 27/3?

Answer 11

Let me clarify:

The mixed number \( 9 \frac{1}{3} \) is indeed equal to \( \frac{28}{3} \), not \( \frac{27}{3} \).

Here's the breakdown:

1. The whole number part is 9.
2. The fractional part is \( \frac{1}{3} \).

To convert \( 9 \frac{1}{3} \) to an improper fraction:

1. Multiply the whole number (9) by the denominator (3):
   \( 9 \times 3 = 27 \)

2. Add the numerator (1) to this result:
   \( 27 + 1 = 28 \)

So, you get: \[ 9 \frac{1}{3} = \frac{28}{3} \]

Therefore, the correct value is \( \frac{28}{3} \).

If it said something different, please make sure to recheck the instruction or context. If you meant just \( 9 \) (without the fraction), then \( 9 = \frac{27}{3} \), but with the fraction, it is definitely \( \frac{28}{3} \).