What is a Reciprocal?
A reciprocal is simply a flipped fraction!
When you take a fraction and flip its numerator (top number) and denominator (bottom number), you get its reciprocal. The coolest part? Multiplying a number by its reciprocal always gives you 1! It's like a math magic trick.
How to Find a Reciprocal
1️⃣ Start with any fraction (like 3/4)
2️⃣ Flip the numerator and denominator (becomes 4/3)
3️⃣ That's your reciprocal! (3/4 × 4/3 = 1)
Let's Practice with Examples
Example 1: Finding Reciprocals
What is the reciprocal of 5/8?
The reciprocal of 5/8 is 8/5! Just flip the numbers!
Check: 5/8 × 8/5 = 40/40 = 1 ✔️
Example 2: Whole Numbers Too!
What is the reciprocal of 7? (Hint: Think of 7 as 7/1)
First write 7 as a fraction: 7/1
Now flip it: The reciprocal is 1/7!
Check: 7 × 1/7 = 7/7 = 1 ✔️
Parent Tips 🌟
- Kitchen Math: Use measuring cups to show how 1/2 cup is the reciprocal of 2/1 (which is 2) cups - they multiply to make 1 cup!
- Reciprocal Pairs: Make flashcards with fractions on one side and their reciprocals on the other for quick practice.
- Real-world Connection: Explain how reciprocals are used in speed calculations (if you go half as fast, it takes twice as long - reciprocal relationship!).