3 years ago

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

Mathematics

1 answer:

makkiz [27]3 years ago

5 0

9514 1404 393

Answer:

420

Step-by-step 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.

_____

<em>Additional comment</em>

5/12 = 175/420
9/14 = 270/420
2/5 = 168/420
1/10 = 42/420

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