Equivalent fractions are discussed here.

Consider the following:

(i)

**1/2**

(ii)

**2/4**

(iii)

**4/8**

(iv)

**8/16**

(v)

**5/10**

(vi)

**10/20**

(viii)

**6/12**

(viii)

**3/6**

**We can see the shade portion with respect to the whole shape in the figures from (i) to (viii)**

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Thus, 1/2, 2/4, 4/8, 8/16, 5/10, 10/20, 6/12, 3/6, etc., each fraction represents half portion of the shape, which are all equal.

So, 1/2 = 2/4 = 4/8 = 8/16 = 5/10 = 10/20 = 6/12 = 3/6 = 1/2*The
fractions having different numerators and denominators but representing
equal value or magnitude are called equivalent fractions.***Note:**

The fraction 1/2 and 2/4 and 4/8 show the same amount of shaded or colored parts. 1/2 and 2/4 and 4/8 are equivalent fractions.

Equivalent fractions are fractions that have different forms but the same value.

**Building Equivalent Fractions:**

**1. ** Change 2/5 to an equivalent fraction with denominator 15.

**Note:**

Multiply numerator and denominator by the same number to get the required denominator.

**2. ** Change 9/12 to an equivalent fraction with denominator 4.

**Note:**

To find an equivalent fraction with smaller denominator, you can divide the numerator and denominator with the same number.

**3. ** We can build equivalent fraction with multiples of numerator and denominator.

Write the next three equivalent fractions.

**Note:**

Equivalent fraction can be built to very large numbers.

Equivalent fraction can be reduced to the lowest term.

**Related Concept**

● Representation of a Fraction

● Properties of Equivalent Fractions

● Comparison of Like Fractions

● Comparison of Fractions having the same Numerator

● Conversion of Fractions into Fractions having Same Denominator

● Conversion of a Fraction into its Smallest and Simplest Form

● Addition of Fractions having the Same Denominator

● Subtraction of Fractions having the Same Denominator

● Addition and Subtraction of Fractions on the Fraction Number Line

**4th Grade Math Activities**

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