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There are two ways of obtaining equivalent-fractions.

1) By multiplying its numerator and denominator by the same number.

Write 3 equivalent-fractions of 2/3.

2 2 x 2 4

--- = ----- = ----

3 3 x 2 6

So 4/6 is the 1st equivalent-fraction of 2/3 .

2nd equivalent-fraction is (2 x 3)/(3 x 3) = 6/9

3rd equivalent-fraction is ( 2 x 4)/(3 x 4) = 8/12

To get first equivalent-fraction of 7/5,

(7 x 2)/(5 x 2) = 14/10

To get 2nd equivalent-fraction of 7/5,

(7 x 3) / (5 x 3) = 21/15

So

The product of the numerator of the 1st and the denominator of the 2nd is equal to the product of the denominator of the 1st and the numerator of the 2nd .

In example 1) you can see that products are equal so 2/5 and 6/15 are equivalent-fractions.

In example 2) you can see that products are not equal so they are not equivalent-fractions.

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1) Write 4 equilvatent-fractions of 3/8

2) Write 3 equilvatent-fractions of 1 ½.

3) Write 2 equilvatent-fractions of 3 ⅛.

4) Write 4 equilvatent-fractions of -2 ⅓.

5) Write 2 equilvatent-fractions of -7/6.

• Types of Fractions

• Conversion of improper to mixed fraction

• Equivalent Fractions

• Fractions in Simplest form

• Like and Unlike Fractions

• Add fractions

• Subtraction of fractions

• Multiplying Fractions

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