step by step to solve three equivalent ratios of 12:15
Answers
Answered by
1
Step-by-step explanation:
12*2 = 24
15*2= 30
15*3= 45
Answered by
0
Answer:
ANSWER:
(i) Writing the ratios as fractions, we have
3 : 4 =
3
4
and 9 : 16 =
9
16
Now, LCM of 4 and 16 = 16.
Making the denominator of each fraction = 16, we have
3
4
=
3 × 4
4 × 4
=
12
16
and the other fraction =
9
16
Of
12
16
and
9
16
, clearly
12
16
>
9
16
.
Therefore,
3
4
>
9
16
.
(ii) Writing the ratios as fractions, we have
15 : 16 =
15
16
and 24 : 25 =
24
25
Now, LCM of 16 and 25 = 400.
Making the denominator of each fraction = 400, we have
15
16
=
15 × 25
16 × 25
=
375
400
and the other fraction =
24 × 16
25 × 16
=
384
400
Clearly, 384 > 375. So,
384
400
>
375
400
.
Therefore,
24
25
>
15
16
.
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