Convert the given fraction into equivalent fraction by multiplying numerator and denominator by 2 .3_4
Answers
Answer:
(i)
8
7
,
14
5
The LCM of 8 and 14
2 8,14
2 4, 7
2 2, 7
7 1, 7
1, 1
=2×2×2×7=56
To write
8
7
with denominator 56, multiply the numerator and denominator by 7
=
8×7
7×7
=
56
49
Similarly,
14
5
=
14×4
5×4
=
56
20
Thus,
8
7
,
14
5
can be written as
56
49
and
56
20
respectively which are equivalent like fractions.
(ii)
6
5
,
16
7
The LCM of 6 and 16
2 6 ,16
2 3, 8
2 3 , 4
2 3, 2
3 3, 1
1, 1
=2×2×2××2×3=48
To write
6
5
with denominator 48, multiply the numerator and denominator by 8
=
6×8
5×8
=
48
40
Similarly,
16
7
⇒
16×3
7×3
=
48
21
Thus
6
5
,
16
7
can be written as
48
40
,
48
21
respectively with equivalent like fractions.
(iii)
4
3
,
6
5
,
8
7
The LCM of 4,6and8
2 4,6,8
2 2,3,4
2 1,3,2
3 1,3,1
1,1,1
=2×2×2×3=24
To write
4
3
with denominator =24 we need to multiply numerator and denominator by 6
=
4
3
×
6
6
=
24
18
Similarly
6
5
and
8
7
can be written as
6
5
×
4
4
=
24
20
and
8
7
×
3
3
=
24
21
Hence,
4
3
,
6
5
,
8
7
can be written as
24
18
,
24
20
,
24
21
respectively.
Which are equivalent like terms.
2.3_4 they are equivalent
like terms