Equivalent fractions are the fractions having the same value.

We have,

^{2}/_{4}=^{(1 × 2)}/_{(2 × 2)}

^{3}/_{6}=^{(1 × 3)}/_{(2 × 3)}

^{4}/_{8}=^{(1 × 4)}/_{(2 × 4)}

We observe that

Thus, an equivalent fraction of a given fraction can be obtained by multiplying its numerator and denominator by the same number (other than zero).

^{2}/_{4}=^{(2÷ 2)}/_{(4 ÷ 2)}=^{1}/_{2}

^{3}/_{6}=^{(3÷ 3)}/_{(6 ÷ 3)}=^{1}/_{2}

^{4}/_{8}=^{(4 ÷ 4)}/_{(8 ÷ 4)}=^{1}/_{2}

We observe that if we divide the numerators and denominators of

Thus, an equivalent fraction of a given fraction can be obtained by dividing its numerator and denominator by their common factor (other than 1), if ant.

**Note:**

(ii) Dividing its numerator (top) and denominator (bottom) by their common factor (other than 1).

1. Write three equivalent fraction of

Equivalent fractions of

^{(3 × 2)}/_{(5× 2)}=^{6}/_{10},

^{(3 × 3)}/_{(5 × 3)}=^{9}/_{15},

^{(3 × 4)}/_{(5 × 4)}=^{12}/_{20}

Therefore, equivalent fractions of

2. Write three equivalent fraction of

Equivalent fractions of

^{(2× 2)}/_{(3× 2)}=^{4}/_{6},

^{(2 × 3)}/_{(3 × 3)}=^{6}/_{9},

^{(2× 4)}/_{(3× 4)}=^{8}/_{12}

Therefore, equivalent fractions of

3. Write three equivalent fraction of

Equivalent fractions of

^{(1× 2)}/_{(4× 2)}=^{2}/_{8},

^{(1 × 3)}/_{(4 × 3)}=^{3}/_{12},

^{(1× 4)}/_{(4× 4)}=^{4}/_{16}

Therefore, equivalent fractions of

4. Write three equivalent fraction of

Equivalent fractions of

^{(2× 2)}/_{(15 × 2)}=^{4}/_{30},

^{(2 × 3)}/_{(15 × 3)}=^{6}/_{45},

^{(2× 4)}/_{(15 × 4)}=^{8}/_{60}

Therefore, equivalent fractions of

5. Write three equivalent fraction of

Equivalent fractions of

^{(3× 2)}/_{(10× 2)}=^{6}/_{20},

^{(3 × 3)}/_{(10 × 3)}=^{9}/_{30},

^{(3× 4)}/_{(10× 4)}=^{12}/_{40}

Therefore, equivalent fractions of

**● ****Fraction**

**Representations of Fractions on a Number Line**

**Conversion of Mixed Fractions into Improper Fractions**

**Conversion of Improper Fractions into Mixed Fractions**

**Interesting Fact about Equivalent Fractions**

**Addition and Subtraction of Like Fractions**

**Addition and Subtraction of Unlike Fractions**

**Inserting a Fraction between Two Given Fractions**

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