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70(0) 2-6-5428529(b) 20Fill in the blanks making them equivalent ratios.14540 10 607 49Complete the given tables to form equivalent ratios. |
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Answer»
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
= 400
Clearly, 384 > 375. So, 384 400
> 375 400
. Therefore, 24 25
> 15 16
. (iii) Writing the ratios as fractions, we have 4 : 7 = 4 7
and 5 : 8 = 5 8
Now, LCM of 7 and 8 = 56. Making the denominator of each fraction = 56, we have
4× 8 7 × 8
= 32 56
and the other fraction = 5 × 7 8 × 7
= 35 56
Clearly, 36 > 32. So, 35 56
> 32 56
. Therefore, 5 8
> 4 7
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