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Which is greater in the following? -327,-345 - Mathematics

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Question

Which is greater in the following?

`-3 2/7, -3 4/5`

Sum

Solution

`-3 2/7, -3 4/5`

`(-23)/7, (-19)/5`

By converting them to equal fractions

`(-23)/7 = (-23 xx 5)/(7 xx 5) = (-115)/35`

`(-19)/5 = (-19 xx 7)/(5 xx 7) = (-133)/35`

As -115 > -133

Therefore, `-3 2/7` is greater.

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Chapter 9: Rational Numbers - Exercise 9.1 [Page 184]

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NCERT Mathematics [English] Class 7
Chapter 9 Rational Numbers
Exercise 9.1 | Q 9.5 | Page 184

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