# How to do fractions step by step

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.