EQUIVALENT FRACTIONS

 EQUIVALENT FRACTIONS

Understanding Equivalent Fractions

What Are Equivalent Fractions?

        Equivalent fractions are different fractions that represent the same value. Think of them as different ways to write the same fraction.

Key Concept:

   When we multiply or divide both the numerator and denominator by the same number, we create an equivalent fraction.

Examples:

Let's look at 1/2

If we multiply both top and bottom by 2: (1×2)/(2×2)=2/4

If we multiply both by 3: (1×3)/(2×3)=3/6

        So, 1/2=2/4=3/6

Visual Example:

 A chocolate bar divided into 2 equal parts. Taking 1 piece means you have 1/2. If you divide each piece again (making 4 pieces total), taking 2 pieces still gives you the same amount:  2/4

Quick Tip:

    To check if fractions are equivalent, cross multiply:

For 1/2 and 2/4:

1×4=4

2×2=4

When the products are equal, the fractions are equivalent!

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