Equivalent Fractions

Equivalent fractions are discussed here.

Consider the following:

(i)

Equivalent Fractions

1/2


(ii)

Equivalent Fractions

2/4


(iii)

Equivalent Fractions

4/8


(iv)

8/16


(v)

5/10


(vi)

Equivalent Fractions

10/20


(viii)

6/12


(viii)

Equivalent Fractions

3/6


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

In; (i) Shaded to whole shape is half to whole             i.e., 1/2

(ii) Shaded to whole shape is 2 to fourth                   i.e., 2/4 = 1/2

(iii) Shaded to whole shape is 4 to eighth                   i.e., 4/8 = 1/2

(iv) Shaded to whole shape is 8 to sixteenth              i.e., 8/16 = 1/2

(v) Shaded to whole shape is 5 to tenth                    i.e., 5/10 = 1/2

(vi) Shaded to whole shape is 10 to 20th                   i.e., 10/20 = 1/2

(vii) Shaded to whole shape is 6 to 12th                    i.e., 6/12 = 1/2

(viii) Shaded to whole shape is 3 to 6th                     i.e., 3/6 = 1/2

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.

Equivalent Fraction





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.

Equivalent Fraction 1





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.

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

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

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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