Multiply and divide rational numbers

Key notes:

🔢 What Are Rational Numbers?

• Rational numbers are numbers that can be written as a fraction ✨
  ➤ Example: ½, –3, 4/7, 0.25 ✔️

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✖️ Multiplying Rational Numbers

📌 Rule 1: Multiply the Numerators

• Top × Top
  Example: 2/3 × 4/5 = 8/15 🎉

📌 Rule 2: Multiply the Denominators

• Bottom × Bottom
  Example: –3/4 × 2/7 → numerator: –3×2 = –6, denominator: 4×7 = 28

📌 Rule 3: Check the Sign

• (+) × (+) = +
• (–) × (–) = +
• (+) × (–) = –
  👉 Same signs → Positive 😊
  👉 Different signs → Negative 😕

🎯 Shortcut:

Try to simplify the fractions before multiplying to make the answer smaller and easier! ✂️✨

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➗ Dividing Rational Numbers

📌 Rule 1: Keep – Change – Flip (KCF) 💡

• KEEP the first fraction
• CHANGE division to multiplication
• FLIP the second fraction (take its reciprocal 🔄)

🔍 Example:
3/5 ÷ 2/3
= 3/5 × 3/2
= 9/10 ✔️

📌 Rule 2: Check the Sign

Same sign → Positive 😊
Different sign → Negative 😕

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🧮 Multiplying & Dividing Integers (part of rationals!)

• (+) × (–) = negative
• (–) ÷ (+) = negative
• (–) × (–) = positive
• (–) ÷ (–) = positive
  ✨ Always check the signs first!

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🌈 Tips to Remember

• 🔄 Flip only the second fraction in division
• ✖️ Multiply straight across
• 🧹 Simplify at the end
• 🧠 Practice makes it easy!

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🎉 Example Problems

1️⃣ 2/3 × –5/8 = –10/24 → –5/12
2️⃣ –7/9 ÷ 1/3 = –7/9 × 3/1 = –21/9 → –7/3

Learn with an example

Let’s practice!🖊️