Question

What's the largest fraction in eaxh group? a. 5/6 and 29/36 b. 5/12 and 3/8 c.2/5 and 19/45 d.5/7, 13/14, and 19/21

Answer 1

a)
`(5)/(6)`is greatest fraction.

b)
`(5)/(12)` is greatest fraction.

c)
`(19)/(45)` is greatest fraction.

d)
`(13)/(14)` is greatest fraction.

Solution:

To compare two fraction we need to make denominator of both the fraction same.

a)Given fraction are
`(5)/(6)` and
`(29)/(36)`

`(5)/(6)=(5 * 6)/(6 * 6)=(30)/(36)`

So
`(30)/(36)` is equivalent to
`(5)/(6)`

So
`(30)/(36)>(5)/(6)`

Hence
`(30)/(36)` that is
`(5)/(6)` is greater than
`(29)/(36)`

b)Given fraction are
`(5)/(12)` and
`(3)/(8)`

`(5)/(12)=(5 * 2)/(12 * 2)=(10)/(24)`

Similarly we get
`(3)/(8)=(3 * 3)/(8 * 3)=(9)/(24)`

So
`(10)/(24)>(9)/(24)`

`(10)/(24)>(9)/(24)`

That is
`(5)/(12)>(3)/(8)`

Hence
`(5)/(12)` is greater than
`(3)/(8)`

c) Given fraction are
`(2)/(5)` and
`(19)/(45)`

`(2)/(5)=(2 * 9)/(5 * 9)=(18)/(45)`

So
`(19)/(45)>(18)/(45)`

That is
`(19)/(45)>(2)/(5)`

Hence
`(19)/(45)` is greater than
`(2)/(5)`

d)Given fraction are
`(5)/(7)`,
`(13)/(14)` and
`(19)/(21)`

`(5)/(7)=(5 * 6)/(7 * 6)=(30)/(42)`

`(13)/(14)=(13 * 3)/(14 * 3)=(39)/(42)`

Similarly we get

`(19)/(21)=(19 * 2)/(21 * 2)=(38)/(42)`

So
`(39)/(42)>(38)/(42)>(30)/(42)`

That is
`(13)/(14)>(19)/(21)>(5)/(7)`

Hence
`(13)/(14)` is greatest fraction.