Question

step by step to solve three equivalent ratios of 12:15​

Answer 1

Step-by-step explanation:

12*2 = 24

15*2= 30

15*3= 45

Answer 2

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

.