Question

Change the following groups of fractions to like fractions:

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

Answer 1

`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`