Day 6: Master of Parts (Fractions & Decimals) 🍰💰
Middle Stage (Grades 6, 7 & 8) | Apex Institute of Maths and Sciences
🎯 1. Concept: Two Languages, One Meaning
Welcome to Day 6! Today we look at the two ways mathematicians talk about “pieces” of a whole: Fractions and Decimals.
They are exactly the same thing, just written in different languages. Half of a pizza is 1/2 in fraction language, and it is 0.5 in decimal language. You need to be fluent in both!
💡 2. The Golden Rules of Operations
Multiplying Fractions: Just multiply straight across! Top × Top, Bottom × Bottom. No need for a common denominator! (Example: 1/2 × 3/4 = 3/8).
Dividing Fractions (Keep-Change-Flip): You actually never divide fractions. Instead, you Keep the first fraction, Change the ÷ sign to ×, and Flip the second fraction upside down. Then just multiply! (Example: 1/2 ÷ 1/4 becomes 1/2 × 4/1 = 4/2 = 2).
Multiplying Decimals: Pretend the decimals aren’t there, multiply like normal numbers, then count how many total numbers were behind the decimal points and put the point back in your answer!
🌍 3. Math in Our Daily Life
Fractions and decimals run our kitchens and our wallets!
Scenario 1 (Money & Decimals): Indian Rupees use decimals. If you have ₹50 and 50 paise, you write it as ₹50.50. If you buy a candy for ₹10.25, you are using decimal subtraction to find your change!
Scenario 2 (Baking & Fractions): A recipe for cookies needs 3/4 cup of sugar. But you only want to make HALF the recipe because you don’t have many guests. You have to multiply 3/4 by 1/2 to know exactly how much sugar to use (3/8 cup).
📝 4. Analytical Tasks
Grab your math journal and try these real-world tasks:
- Task A: The Money Convert: Write down the decimal value of these fractions of a Rupee: 1/2, 1/4, and 3/4. (Hint: Think about 50 paise, 25 paise, and 75 paise).
- Task B: The Keep-Change-Flip: Write out the steps to solve 2/3 ÷ 1/5 using the Keep-Change-Flip rule.
✅ 5. Day 6 Application Test
Let’s test your fraction and decimal logic! This quiz gets progressively harder. Grab some rough paper, select your answers, and click submit.
It is not much harder . Good to do thankyou
I have a brellint work that to from apex education .Im grat full to have this educational work .
Thank you so much apex education.
I have a brellint work that to from apex education .Im grat full to have this educational work .
Thank you so much apex education.