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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}?

Sagot :

MathWiz0001

Answer:

45.

Step-by-step 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:

[tex] \frac{3 \times 9}{5 \times 9} = \frac{27}{45} [/tex]

[tex] \frac{4 \times 5}{9 \times 5} = \frac{20}{45} [/tex]

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

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