Understanding Mixed Fractions
A mixed fraction consists of a whole number and a proper fraction combined together, such as 2 1/3. To convert a mixed fraction into an improper fraction, follow these simple steps.
Steps to Convert Mixed Fractions to Improper Fractions
1. Identify the Whole Number
- This is the integer part of the mixed fraction. For 2 1/3, the whole number is 2.
2. Identify the Numerator and Denominator
- The numerator is the top part of the fraction, and the denominator is the bottom part. In 2 1/3, the numerator is 1, and the denominator is 3.
3. Multiply the Whole Number by the Denominator
- Multiply the whole number by the denominator. For 2 1/3, this is 2 * 3 = 6.
4. Add the Numerator
- Add the result from the previous step to the numerator. For 2 1/3, this is 6 + 1 = 7.
5. Write the Result as an Improper Fraction
- Place the sum over the original denominator. Thus, 2 1/3 becomes 7/3.
Example Conversion
- Mixed Fraction: 3 2/5
- Whole Number: 3
- Numerator: 2
- Denominator: 5
Steps:
- 3 * 5 = 15
- 15 + 2 = 17
- Improper Fraction: 17/5
Conclusion
Converting mixed fractions to improper fractions is straightforward. Just follow the steps outlined, and you'll master this skill in no time!