Question

Change the following groups of fractions to like fractions:

`5/6,7/8,11/12,3/10`

Answer 1

`5/6,7/8,11/12,3/10`

L.C.M. of denominators 6, 8, 12, 10 = 120

2	6,	8,	12,	10
2	3,	4,	6,	5
3	3,	2,	3,	5
	1,	2,	1,	5

= 2 × 2 × 3 × 2 × 5 = 120

Now, `5/6=(5xx20)/(6xx20)=100/120;`

`7/8=(7xx15)/(8xx15)=105/120;11/12=(11xx10)/(12xx10)`

`=110/120;3/10=(3xx12)/(10xx12)=36/120`

∴ `5/6,7/8,11/12,3/10=100/120,105/120,110/120,36/120`