Converting an improper fraction to a mixed fraction involves dividing the numerator by the denominator and expressing the result as a whole number and a fraction. The video, titled "Improper Fractions To Mixed Numbers" on YouTube, explains this process clearly, as outlined below.
Steps to Convert an Improper Fraction to a Mixed Number:
-
Divide the Numerator by the Denominator:
- Perform the division of the numerator of the fraction by its denominator. For instance, if you have the fraction 11/4, you divide 11 by 4.
-
Determine the Whole Number:
- The whole number part of your mixed number will be the quotient, the result of the division, without any remainder. So in our example 11 divided by 4 gives you 2 as the whole number, because 4 goes into 11 two whole times.
-
Find the Remainder:
- The remainder from the division becomes the numerator of the fractional part of the mixed number. Using 11/4 as an example, 4 goes into 11 two whole times with a remainder of 3. Therefore, 3 will be the new numerator.
-
Keep the Original Denominator:
- The denominator of the fractional part of the mixed number stays the same as the denominator of the original improper fraction. Thus, in our example the denominator stays 4.
-
Assemble the Mixed Number:
- Combine the whole number, new numerator and the denominator to form the mixed fraction. So, the improper fraction 11/4 becomes the mixed number 2 3/4.
Summary:
Here's a breakdown in a table format:
| Step | Description | Example with 11/4 |
|---|---|---|
| 1. Divide | Divide the numerator by the denominator. | 11 รท 4 |
| 2. Whole Number | Take the whole number (quotient) from division. | 2 |
| 3. New Numerator | Take the remainder of the division. | 3 |
| 4. Keep Denominator | Keep the same denominator as the original improper fraction. | 4 |
| 5. Mixed Fraction | Combine the whole number, new numerator, and the original denominator to form the mixed number. | 2 3/4 |
Key takeaways from the video reference:
- According to the video, the whole number will be the quotient when dividing numerator and denominator.
- The denominator of the mixed fraction stays the same as the original improper fraction's denominator.
- The remainder from the division will become the numerator of the fractional part of the mixed fraction.
By following these steps, any improper fraction can be converted to its equivalent mixed number form.
