How to Add a Whole Number and a Fraction: Step-by-Step Examples

Understanding the Problem

• 💡 The video demonstrates how to add a whole number to a fraction or vice versa, emphasizing that the order of addition does not affect the result.

Method for Adding Whole Numbers and Fractions

• 🎯 To add a whole number and a fraction, the first step is to convert the whole number into a fraction by placing it over 1.
• 🔑 Next, find a common denominator by multiplying the whole number fraction by a fraction equivalent to 1, using the denominator of the given fraction.
• ➕ Once common denominators are established, add the numerators of the two fractions to get the final answer.

Example 1: 5 + 3/4

• ⚡ Convert 5 to a fraction: 5/1.
• 🧮 Multiply 5/1 by 4/4 to get a common denominator: (5 * 4) / (1 * 4) = 20/4.
• ✅ Add the numerators: 20 + 3 = 23. The result is the improper fraction 23/4.

Example 2: 2/3 + 4

• 🚀 Convert the whole number 4 to a fraction: 4/1.
• 🧩 Multiply 4/1 by 3/3 to get a common denominator: (4 * 3) / (1 * 3) = 12/3.
• 🌟 Add the numerators: 2 + 12 = 14. The final answer is the improper fraction 14/3.