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Mixed Number in Simplest Form (fraction)


Problems:
⅔ of the mass of a lobster equal to ⅜ of the mass of a king crab. The difference in their masses is 7/10 kg. What is the mass of the king crab? Express your answer as mixed number in its simplest form.

Solution:
Equality ⅔ and ⅜ is use LCM (2,3) = 6 so that

2/3 = 6/9 
and 
3/8 = 6/16

It means that 

Part of Lobster : 6u
Whole Lobster : 9u
Part of King Crab : 6u
Whole King Crab 16u  
 
We know that their difference 7/10 kg so

16u – 9u = 7/10
<=> 7u = 7/10
<=> 1u = 1/10 

It implies whole king crab

16u = 16 × 1/10 = 16/10 = 1 3/5 kg
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