Question

What is the lowest common denominator for these fractions?

3/5 and 1/10

15
5
10

Answer 1

10

• Multiply both parameters by the least common multiple of each.

`(3*2)/(5 * 2) = (6)/(10)`

`(1*1)/(10*1) = (1)/(10)`

• The lowest denominator cannot be 5, because that would mean you would have to reduce 1/10, and you cannot since 1/10 is a unit fraction, meaning it has a numerator of 1. However, 3/5 in that scenario would remain the same, since it already has a denominator of 5, but 10 does not have both parameters divisible by 5, therefore, eliminate option B.

• It is also not A. because A. is too high, option A. would actually be the highest denominator you can go for in this situation, which we are not going for. We are going for the lowest denominator logically possible.

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With that information, the correct answer is option C, 10

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What have we learned?

We learned how to find the least common denominator of fractions whose parameters are not the same.

Questions related to this topic? Ask me in the comments box.