Equivalent Fractions Mathematics Grade 4 Periwinkle

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Equivalent Fractions Mathematics Grade 4 Periwinkle

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equivalent fractions today let us learn equivalent fractions look at these rectangles all are of the same size but each rectangle has been divided into different number of parts the fractions for the shaded region of each rectangle are as follows half of the rectangle is yellow 2 4 of the rectangle is yellow 3 6 of the rectangle is yellow 4 8 of the rectangle is yellow 5 10 of the rectangle is yellow here half 2 4 3 6 4 8 and 5 10 all represent half part of the whole rectangle these fractions are called equivalent fractions thus we say two or more fractions that show the same part of the whole are called equivalent fractions that is half is equal to 2 4 is equal to 3 6 is equal to 4 8 is equal to 5 10. let us see how we can obtain the equivalent fractions of given fraction when we multiply the numerator and the denominator of given fraction by the same number we obtain its equivalent fractions now let us solve an example to understand it in better way find the equivalent fractions of 3 4 let us multiply the numerator and the denominator of the fraction with the number two we get three into two upon four into two which is equal to six upon eight next let us multiply with number five we get three into five upon four into five which is equal to 15 upon 20. multiplying with number 7 we get 3 into 7 upon 4 into 7 which is equal to 21 upon multiplying with 8 we get 3 into 8 upon 4 into 8 which is equal to 24 upon 32 thus 6 upon 8 15 upon 20 21 upon 24 upon 32 are few equivalent fractions of three upon four we can also find out if two fractions are equivalent or not by cross multiplying if both the products are equal then they are equivalent fractions let us see few examples example one two upon five and four upon ten here we cross multiply the numbers that is we multiply two and ten and five and four we know two into ten is equal to twenty and five into four is equal to twenty here both the products are equal thus two upon five and 4 upon 10 are equivalent fractions we write it as 2 upon 5 is equivalent to 4 upon ten now let us see another example four upon seven and eight upon twenty one here on cross multiplying the numbers we get 4 into 21 is equal to and 7 into 8 is equal to 56. both the products are different thus 4 upon 7 and 8 upon 21 are not equivalent fractions we write it as 4 upon 7 is not equivalent to 8 upon 21 kids remember after cross multiplying if both the products are equal then they are equivalent fractions if both the products are not equal then they are not equivalent fractions you
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