Mixed numbers

Key Notes :

🟣 What is a Mixed Number?

A mixed number has a whole number + a fraction.
✨ Example: 2 Β½, 5 ΒΎ, 7 ¹⁄₄


πŸ”΅ Parts of a Mixed Number

  • Whole number πŸ‘‰ tells how many complete parts 😊
  • Fraction πŸ‘‰ tells the leftover part 🍰
    Example: In 3 Β½
  • 3 = whole number
  • Β½ = fraction

🟒 Converting Mixed Numbers to Improper Fractions

πŸ‘‰ Multiply the whole number Γ— denominator
πŸ‘‰ Add the numerator
πŸ‘‰ Keep the same denominator
Example: 2 β…“

  • 2 Γ— 3 = 6
  • 6 + 1 = 7
  • Final: 7/3 πŸŽ‰

🟠 Converting Improper Fractions to Mixed Numbers

πŸ‘‰ Divide numerator Γ· denominator
πŸ‘‰ Quotient = whole number
πŸ‘‰ Remainder becomes the numerator of the fraction
Example: 11/4

  • 11 Γ· 4 = 2 remainder 3
  • Final: 2 ΒΎ πŸ•βœ¨

πŸ”΄ Adding Mixed Numbers

1️⃣ Add whole numbers
2️⃣ Add fractions
3️⃣ If the fraction becomes improper, convert it
Example: 3 Β½ + 2 β…“
➑ Whole: 3 + 2 = 5
➑ Fractions: Β½ + β…“ = 3/6 + 2/6 = 5/6
➑ Final: 5 β…š πŸ’«


🟑 Subtracting Mixed Numbers

πŸ‘‰ If the top fraction is smaller, borrow 1 whole
πŸ‘‰ Convert it into a fraction
Example: 5 ΒΌ – 3 Β½

  • Borrow 1 β†’ becomes 4 + 5/4
  • 5/4 – Β½ = 3/4
  • Whole: 4 – 3 = 1
    ➑ Final: 1 ΒΎ πŸ”₯

🟀 Mixed Numbers in Real Life

🍰 Cutting cakes
πŸ“ Measuring lengths
⏱ Cooking recipes
πŸƒβ€β™‚οΈ Distance covered


🌈 Helpful Tip

Always remember:
πŸ‘‰ Mixed Number = Whole + Fraction
πŸ‘‰ You can switch between mixed number and improper fraction anytime! 🎯✨

Learn with an example

Write the mixed number (for example, 2 2/3):

_________

First, count the wholes.

There are 3 wholes.

Now find the fraction part.

There are 4 equal parts. There is 1 coloured part.

the fraction is 1/4 .

Write the whole-number part and the fraction part together to make the mixed number:

3 1/4

Write the mixed number (for example, 2 2/3):

First, count the wholes.

There are 2 equal parts. There is 1 coloured part.

The fraction part is 1/2

Write the whole-number part and the fraction part together to make the mixed number:

2 1/2

Write the mixed number (for example, 2 2/3):

First, count the wholes.

There are 4 equal parts. There are 3 coloured parts.

The fraction part is 3/4 .

Write the whole-number part and the fraction part together to make the mixed number:

1 3/4

Let’s practice!