II. Solve the following
16. compare 2/5 □4/7
Fractions and write the proper<,> or =In the box
17. 1/3
of 36 =
18. convert 2:30 am into 24-hour clock time.
19. Add 8 hours 20 minutes and 3 hours 15 minutes
20. Convert 7 1/5 into improper fraction
Answers
Answer:
Step-by-step explanation:
(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
11
15
=
11×4
15×4
=
44
60
17
20
=
17×3
20×3
=
51
60
Clearly,
42
60
<
44
60
<
48
60
<
51
60
Hence,
7
10
<
11
15
<
4
5
<
17
20
∴ The given fractions in ascending order are
7
10
,
11
15
,
4
5
and
17
20
.
Page No 22:
Question 3:
Arrange the following fractions in descending order:
(i)
3
4
,
7
8
,
7
12
,
17
24
(ii)
2
3
,
3
5
,
7
10
,
8
15
ANSWER:
We have the following:
(i) The given fractions are
3
4
,
7
8
,
7
12
and
17
24
.
LCM of 4,8,12 and 24 = 24
Now, let us change each of the given fractions into an equivalent fraction with 24 as its denominator.
3
4
=
3×6
4×6
=
18
24
7
8
=
7×3
8×3
=
21
24
7
12
=
7×2
12×2
=
14
24
17
24
=
17×1
24×1
=
17
24
Clearly,
21
24
>
18
24
>
17
24
>
14
24
Hence,
7
8
>
3
4
>
17
24
>
7
12
∴ The given fractions in descending order are
7
8
,
3
4
,
17
24
and
7
12
.
(ii) The given fractions are
2
3
,
3
5
,
7
10
and
8
15
.
LCM of 3,5,10 and 15 = 30
Now, let us change each of the given fractions into an equivalent fraction with 30 as its denominator.
2
3
=
2×10
3×10
=
20
30
3
5
=
3×6
5×6
=
18
30
7
10
=
7×3
10×3
=
21
30
8
15
=
8×2
15×2
=
16
30
Clearly,
21
30
>
20
30
>
18
30
>
16
30
Hence,
7
10
>
2
3
>
3
5
>
8
15
∴ The given
Step-by-step explanation:
please make me brainlist