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36 votes
36 votes
Find the least common denominator for the group of fractions.
5/12, 9/14, 2/5, 1/10

User Justin Tanner
by
2.6k points

1 Answer

28 votes
28 votes

9514 1404 393

Answer:

420

Explanation:

The prime factors of each denominator are ...

12 = 2²×3

14 = 2×7

5 = 5

10 = 2×5

The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

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Additional comment

  • 5/12 = 175/420
  • 9/14 = 270/420
  • 2/5 = 168/420
  • 1/10 = 42/420
User Tuukka Mustonen
by
3.1k points