1)compare 6/5 and 60/25
2)multiple x by(2x+3y)
3)find the product of(-2xy),(5xpower 2ypower 2
please tell answer very important
Answers
Answer:
ExpQuestion 1:
Compare the fractions:
(i)
5
8
and
7
12
(ii)
5
9
and
11
15
(iii)
11
12
and
15
16
ANSWER:
We have the following:
(i)
5
8
and
7
12
By cross multiplication, we get:
5 × 12 = 60 and 7 × 8 = 56
However, 60 > 56
∴
5
8
>
7
12
(ii)
5
9
and
11
15
By cross multiplication, we get:
5 × 15 = 75 and 9 × 11 = 99
However, 75 < 99
∴
5
9
<
11
15
(iii)
11
12
and
15
16
By cross multiplication, we get:
11 × 16 = 176 and 12 × 15 = 180
However, 176 < 180
∴
11
12
<
15
16
Page No 21:
Question 2:
Arrange the following fractions in ascending order:
(i)
3
4
,
5
6
,
7
9
,
11
12
(ii)
4
5
,
7
10
,
11
15
,
17
20
ANSWER:
(i) The given fractions are
3
4
,
5
6
,
7
9
and
11
12
.
LCM of 4, 6, 9 and 12 = 36
Now, let us change each of the given fractions into an equivalent fraction with 72 as its denominator.
3
4
=
3×9
4×9
=
27
36
5
6
=
5×6
6×6
=
30
36
7
9
=
7×4
9×4
=
28
36
11
12
=
11×3
12×3
=
33
36
Clearly,
27
36
<
28
36
<
30
36
<
33
36
Hence,
3
4
<
7
9
<
5
6
<
11
12
∴ The given fractions in ascending order are
3
4
,
7
9
,
5
6
and
11
12
.
(ii) The given fractions are:
4
5
,
7
10
,
11
15
and
17
20
.
LCM of 5, 10, 15 and 20 = 60
Now, let us change each of the given fractions into an equivalent fraction with 60 as its denominator.
4
5
=
4×12
5×12
=
48
60
7
10
=
7×6
10×6
=
42
60
Question 1:
Compare the fractions:
(i)
5
8
and
7
12
(ii)
5
9
and
11
15
(iii)
11
12
and
15
16
ANSWER:
We have the following:
(i)
5
8
and
7
12
By cross multiplication, we get:
5 × 12 = 60 and 7 × 8 = 56
However, 60 > 56
∴
5
8
>
7
12
(ii)
5
9
and
11
15
By cross multiplication, we get:
5 × 15 = 75 and 9 × 11 = 99
However, 75 < 99
∴
5
9
<
11
15
(iii)
11
12
and
15
16
By cross multiplication, we get:
11 × 16 = 176 and 12 × 15 = 180
However, 176 < 180
∴
11
12
<
15
16
Page No 21:
Question 2:
Arrange the following fractions in ascending order:
(i)
3
4
,
5
6
,
7
9
,
11
12
(ii)
4
5
,
7
10
,
11
15
,
17
20
ANSWER:
(i) The given fractions are
3
4
,
5
6
,
7
9
and
11
12
.
LCM of 4, 6, 9 and 12 = 36
Now, let us change each of the given fractions into an equivalent fraction with 72 as its denominator.
3
4
=
3×9
4×9
=
27
36
5
6
=
5×6
6×6
=
30
36
7
9
=
7×4
9×4
=
28
36
11
12
=
11×3
12×3
=
33
36
Clearly,
27
36
<
28
36
<
30
36
<
33
36
Hence,
3
4
<
7
9
<
5
6
<
11
12
∴ The given fractions in ascending order are
3
4
,
7
9
,
5
6
and
11
12
.
(ii) The given fractions are:
4
5
,
7
10
,
11
15
and
17
20
.
LCM of 5, 10, 15 and 20 = 60
Now, let us change each of the given fractions into an equivalent fraction with 60 as its denominator.
4
5
=
4×12
5×12
=
48
60
7
10
=
7×6
10×6
=
42
60
lanation:
Answer:
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