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CBSE Class 7 Answered

Express the following fractions in the decreasing order of magnitude: 3 3 over 5 space comma space fraction numerator minus 8 over denominator 14 end fraction comma space 4 1 half comma 19 over 38 comma 6 1 half comma fraction numerator minus 22 over denominator 110 end fraction
Asked by Topperlearning User | 10 Oct, 2014, 03:08: PM
answered-by-expert Expert Answer

In order to arrange the given fractions in decreasing order, we have to convert them into like fractions.

,   , 4 1 half equals 9 over 2  ,

, 6 1 half equals 13 over 2,

Now, LCM of 5, 7, 2, 2, 2, 5 is 70.

Converting them into like fractions, we get

, , ,

, ,

Since, 455 > 315 > 252 > 35 > -14 > -40

Decreasing order:

Thus, 6 1 half space greater than space 4 1 half space greater than space 3 3 over 5 space greater than 19 over 38 space greater than space fraction numerator minus 22 over denominator 110 end fraction space greater than thin space fraction numerator minus 8 over denominator 14 end fraction 

Answered by | 10 Oct, 2014, 05:08: PM

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