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Q.

Find the sum of 4 5  and 7 15 .  


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a

13 15  

b

29 15  

c

17 15  

d

19 15   

answer is D.

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Detailed Solution

The given fractions are 4 5  and 7 15 .  
The LCM of the denominators 5 and 15 is 15.
So, we convert the given fractions into equivalent fractions with denominator 15.
Here,
4 5 = 4×3 5×3 = 12 15   7 15 = 7×1 15×1 = 7 15  
Therefore, we have
4 5 + 7 15 = 12 15 + 7 15 = 12+7 15 = 19 15  
Therefore the sum of 4 5  and 7 15   is 19 15 .  
Hence option (4) is correct.
 
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Find the sum of 4 5  and 7 15 .