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Change the Following Groups of Fractions to like Fractions: 2/7,7/8,5/14,9/16 - Mathematics

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Question

Change the following groups of fractions to like fractions:

`2/7,7/8,5/14,9/16`

Sum

Solution

`2/7,7/8,5/14,9/16`

L.C.M. of denominators 7, 8, 14, 16 = 112

2 7, 8, 14, 16
7 7, 4, 7, 8
4 1, 4, 1, 8
  1, 1, 1, 2

= 2 × 7 × 4 × 2 = 112

Now, `2/7=(2xx16)/(7xx16)=32/112;7/8=(7xx14)/(8xx14)`

`=98/112;5/14=(5xx8)/(14xx8)=40/112;9/6`

`=(9xx7)/(16xx7)=63/112`

∴ `2/7,7/8,5/14,9/16=32/112,98/112,40/112,63/112`

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Chapter 14: Fractions - Exercise 14 (A)

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Selina Mathematics [English] Class 6
Chapter 14 Fractions
Exercise 14 (A) | Q 6.3
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