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Mathematics

Grade10

Easy

Question

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

52
35
17
30

hint 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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