Mathematics
Grade10
Easy

Question

Which is the lowest common denominator for the fractions fraction numerator 4 over denominator 15 end fraction comma blank fraction numerator 1 over denominator 6 end fraction comma blank fraction numerator 2 over denominator 3 end fraction ?

  1. 52    
  2. 35    
  3. 17    
  4. 30    

Hint:

In this question we have to find the LCM (lowest common multiple) of all the three denominators which is the lowest common denominator.

The correct answer is: 30


    The lowest common denominator of the fractions fraction numerator 4 over denominator 15 end fraction comma blank fraction numerator 1 over denominator 6 end fraction comma blank fraction numerator 2 over denominator 3 end fraction is 30.
    fraction numerator 4 over denominator 15 end fraction equals fraction numerator 4 cross times 2 over denominator 15 cross times 2 end fraction equals fraction numerator 8 over denominator 30 end fraction
    fraction numerator 1 over denominator 6 end fraction equals fraction numerator 1 cross times 5 over denominator 6 cross times 5 end fraction equals fraction numerator 5 over denominator 30 end fraction
    fraction numerator 2 over denominator 3 end fraction equals fraction numerator 2 cross times 10 over denominator 3 cross times 10 end fraction equals fraction numerator 20 over denominator 30 end fraction

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