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Q.

Savita bought 2 5  m   of ribbon and Kavita 3 4  m   of the ribbon. What was the total length of the ribbon they bought?


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a

29 20 m  

b

27 20 m  

c

23 20 m  

d

25 20 m   

answer is C.

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Detailed Solution

It is given that,
Savita bought 2 5  m   of ribbon and Kavita 3 4  m   of the ribbon.
Therefore the total length of the ribbon that Savita and Kavita bought is 2 5 + 3 4 .   However, to add unlike fractions they must be converted into equivalent fractions. The LCM of the denominator 5 and 4 is 20.
So, we convert the given fractions into equivalent fractions with denominator 20.
Thus,
2 5 = 2×4 5×4 = 8 20   3 4 = 3×5 4×5 = 15 20  
Therefore,
2 5 + 3 4 = 8 20 + 15 20 = 8+15 20 = 23 20  
Thus the total length of the ribbon that Savita and Kavita bought is 23 20 m.  
Hence option (3) is correct.
 
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