How do you rewrite 28/9 as a mixed number?

To convert the improper fraction 28/9 into a mixed number, we need to follow a straightforward process that involves division. A mixed number consists of a whole number and a proper fraction. Let’s break it down step by step.

Step 1: Perform the Division

First, we divide the numerator (28) by the denominator (9). When you do this, you’re essentially asking how many whole times 9 can fit into 28.

• 9 goes into 28 three times because 9 x 3 = 27.
• This means that the whole number part of our mixed number is 3.

Step 2: Find the Remainder

Next, we need to calculate the remainder from this division. We subtract the product of the whole number and the denominator from the original numerator:

• 28 - 27 = 1.

This remainder tells us how much is left over after taking out the whole number part.

Step 3: Form the Mixed Number

Now that we have both the whole number and the remainder, we can express 28/9 as a mixed number. The remainder becomes the numerator of the proper fraction, while the denominator remains the same:

• So, we have 3 as the whole number and 1 as the numerator over 9 as the denominator.

This gives us the mixed number: 3 1/9.

Final Result

Therefore, the improper fraction 28/9 can be rewritten as the mixed number 3 1/9. This representation is often more intuitive, especially in contexts where whole numbers and fractions are used together, such as in cooking or measuring.