The fractions having actually the same value are dubbed equivalent fractions. Your numerator and denominator deserve to be different but, they represent the same part of a whole.

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Consider the following: (i)


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3/6

We have the right to see the shade section with respect to the entirety shape in the figures from (i) come (viii)

In; (i) Shaded to totality shape is half to totality i.e., 1/2(ii) Shaded to entirety shape is 2 to 4th i.e., 2/4 = 1/2(iii) Shaded to entirety shape is 4 come eighth i.e., 4/8 = 1/2(iv) Shaded to entirety shape is 8 to sixteenth i.e., 8/16 = 1/2(v) Shaded to totality shape is 5 to tenth i.e., 5/10 = 1/2(vi) Shaded to whole shape is 10 come 20th i.e., 10/20 = 1/2(vii) Shaded to entirety shape is 6 come 12th i.e., 6/12 = 1/2(viii) Shaded to entirety shape is 3 to sixth 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 fifty percent portion the the shape, which are all equal. All have various numerator and denominator but they all have the same value since they stand for the same shaded area i.e., fifty percent of the rectangle.

So, 1/2, 2/4, 4/8, 8/16, 5/10, 10/20, 6/12, 3/6 are equivalent fractions.

We can express that as, 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 however representing equal worth or magnitude are dubbed equivalent fractions.Note:

The portion 1/2 and also 2/4 and 4/8 display the very same amount of shaded or fancy parts. 1/2 and 2/4 and also 4/8 are indistinguishable fractions. Tantamount fractions are fractions that have various forms but the very same value.

Building indistinguishable Fractions:

1. change 2/5 come an equivalent portion with denominator 15.


Questions and answers on Equivalent Fractions:

1. discover 4 identical fractions for the provided fractions bymultiplying.

(i) (frac37)

(ii) (frac29)

(iii) (frac45)

(vi) (frac711)

Answers: 

1. (i) (frac614), (frac921), (frac1228), (frac1535)

(ii) (frac418), (frac627), (frac836), (frac1045)

(iii) (frac810), (frac1215), (frac1620), (frac2025)

(vi) (frac1422), (frac2133), (frac2844), (frac3555)

2. fill the boxes to make equivalent fractions:

(i) (frac34) = (frac……16)

(ii) (frac59) = (frac35……)

(iii) (frac78) = (frac……64)

(vi) (frac7……) = (frac6399)

(v) (frac213) = (frac……51)

(vi) (frac1117) = (frac……51)

Answers:

2.

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(i) 12

(ii) 63

(iii) 56

(vi) 11

(v) 8

(vi) 33

Related Concept

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