Whole number fractions are special fractions where the numerator (top number) is equal to or an exact multiple of the denominator (bottom number). These fractions represent complete whole numbers because they don’t leave any parts remaining.

Key Concept:

✔ When numerator = denominator → fraction equals 1
✔ When numerator is a multiple of denominator → fraction equals a whole number
✔ They represent complete units with no fractional parts left over

How Fractions Become Whole Numbers

Rule:

A fraction equals a whole number when:
Numerator ÷ Denominator = Whole Number

Examples:

• ⁴⁄₂ = 2 (because 4 ÷ 2 = 2)
• ⁹⁄₃ = 3 (because 9 ÷ 3 = 3)
• ⁵⁄₅ = 1 (because 5 ÷ 5 = 1)

Visual Examples

Example 1: ²⁄₂ = 1

![Two halves making a whole pizza]

• Imagine a pizza cut into 2 equal slices
• If you have both slices (²⁄₂), you have the whole pizza (1)

Example 2: ⁴⁄₂ = 2

![Four half pieces making two wholes]

• Each ½ represents half of an object
• 4 halves = 2 whole objects
• (Just like 4 quarters make $1.00)

Example 3: ⁶⁄₃ = 2

![Six third pieces making two wholes]

• Each ⅓ is one piece of a whole divided into 3
• 6 such pieces = 2 complete wholes

Definition of Fractions Equivalent to Whole Numbers (Grade 3 Level):

Fractions are equivalent to whole numbers when the numerator (the top number) is the same as or a multiple of the denominator (the bottom number). This happens because the fraction represents the whole number exactly without any parts left over.

Examples:

1. 2/2 = 1
   • If you have 2 out of 2 equal parts, you have the whole thing, which equals 1.
2. 4/2 = 2
   • If you divide something into 2 equal parts and take 4 parts, that means you have 2 whole units.
3. 6/3 = 2
   • If you have 6 parts out of 3 equal parts, it equals 2 because 6 is two times 3.
4. 5/5 = 1
   • If you take 5 parts out of 5, you have the entire object, which equals 1.
5. 9/3 = 3
   • Dividing something into 3 parts and taking 9 of them gives you 3 whole units.

How to Identify Fractions Equivalent to Whole Numbers:

• When the numerator is the same as or a multiple of the denominator, the fraction equals a whole number.
• Example: 63=2\frac{6}{3} = 236​=2 because 6 ÷ 3 = 2.

Exercises for Practice:

Exercise 1: Fill in the Blank

Write the whole number that each fraction equals:

1. 4/4 = __
2. 8/4 = __
3. 3/3 = __
4. 10/5 = __
5. 6/2 = __

Exercise 2: True or False

Decide if the fraction is equivalent to the whole number:

1. 5/5 = 1
2. 8/4 = 4
3. 9/3 = 3
4. 6/6 = 2
5. 12/6 = 2

Exercise 3: Circle the Fractions Equivalent to Whole Numbers

Circle the fractions that are equivalent to whole numbers:

• 6/6
• 5/4
• 10/5
• 8/8
• 7/3