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Which of the following can be a common denominator for the fractions LaTeX: \frac{3}{5} and LaTeX: \frac{4}{9}?

1 Answer

5 votes

Answer:

45.

Explanation:

Find the LCM (Least Common Multiple):

  • We can use a factorization tree or make a list of values.

Lets list out the multiples of 5 and 9 (Denominators)

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

45 is the least common multiple.

Multiply the denominator to get to 45, same applies for numerator:


(3 * 9)/(5 * 9) = (27)/(45)


(4 * 5)/(9 * 5) = (20)/(45)

45 is the least common multiple that you can use for your denominators.

User James Meakin
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