Understanding fractions can be straightforward when broken down into steps. Here’s a guide on how to handle fractions. This is very much a guide for parents, carers etc. who have some understanding of fractions but like a reminder from time to time. This is not for your children unless they already have a good grasp of fractions.
1. Understanding Fractions
- A fraction represents a part of a whole.
- It consists of two parts: the numerator (top number) and the denominator (bottom number).
- The numerator indicates how many parts you have, while the denominator indicates how many parts make up a whole.
2. Simplifying Fractions
- Find the greatest common divisor (GCD) of the numerator and the denominator
- Divide both the numerator and the denominator by the GCD
3. Adding and Subtracting Fractions
- Make sure the fractions have a common denominator.
- Add or subtract the numerators.
- Keep the denominator the same.
- Simplify the result if possible.
4. Multiplying Fractions
- Multiply the numerators together.
- Multiply the denominators together.
- Simplify the result if possible.
- Example: Multiply 23×34.
- Multiply numerators: 2 × 3 = 6.
- Multiply denominators: 3 × 4 = 12.
- Result: 612 which simplifies to 12.
5. Dividing Fractions
- Flip (take the reciprocal of) the second fraction.
- Multiply the first fraction by this reciprocal.
- Simplify the result if possible.
6. Converting Between Mixed Numbers and Improper Fractions
- To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place over the original denominator.
- To convert an improper fraction to a mixed number, divide the numerator by the denominator.
Tips
- Practice with different examples to become familiar with the process.
- Always check to see if you can simplify your answer.
This should give you a solid foundation for dealing with fractions. Remember, practice is key to mastering fractions.
.