Mixed numbers
Key Notes :
π£ What is a Mixed Number?
A mixed number has a whole number + a fraction.
β¨ Example: 2 Β½, 5 ΒΎ, 7 ΒΉββ
π΅ Parts of a Mixed Number
- Whole number π tells how many complete parts π
- Fraction π tells the leftover part π°
Example: In 3 Β½ - 3 = whole number
- Β½ = fraction
π’ Converting Mixed Numbers to Improper Fractions
π Multiply the whole number Γ denominator
π Add the numerator
π Keep the same denominator
Example: 2 β
- 2 Γ 3 = 6
- 6 + 1 = 7
- Final: 7/3 π
π Converting Improper Fractions to Mixed Numbers
π Divide numerator Γ· denominator
π Quotient = whole number
π Remainder becomes the numerator of the fraction
Example: 11/4
- 11 Γ· 4 = 2 remainder 3
- Final: 2 ΒΎ πβ¨
π΄ Adding Mixed Numbers
1οΈβ£ Add whole numbers
2οΈβ£ Add fractions
3οΈβ£ If the fraction becomes improper, convert it
Example: 3 Β½ + 2 β
β‘ Whole: 3 + 2 = 5
β‘ Fractions: Β½ + β
= 3/6 + 2/6 = 5/6
β‘ Final: 5 β
π«
π‘ Subtracting Mixed Numbers
π If the top fraction is smaller, borrow 1 whole
π Convert it into a fraction
Example: 5 ΒΌ β 3 Β½
- Borrow 1 β becomes 4 + 5/4
- 5/4 β Β½ = 3/4
- Whole: 4 β 3 = 1
β‘ Final: 1 ΒΎ π₯
π€ Mixed Numbers in Real Life
π° Cutting cakes
π Measuring lengths
β± Cooking recipes
πββοΈ Distance covered
π Helpful Tip
Always remember:
π Mixed Number = Whole + Fraction
π You can switch between mixed number and improper fraction anytime! π―β¨
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!

