Question

What is the least common denominator of 1/2 5/6

Answer 1

Multiples of 4:4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Multiples of 6:6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

Answer: The least common denominator of 1/4 and 1/6 is 12.

Prime factorisations of 8= 2 × 2 × 2.

Prime factorisations of 12= 2 × 2 × 3.

More items...

Answer 2

Hi! ⋇

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To find the least common denominator of
`\sf{(1)/(2)}` and
`\sf{(5)/(6)}`, we should first find the least common multiple of 2 and 6, which is 6:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16... ∞

Multiples of 6: 6, 12, 18, 24... ∞

(all common multiples are in bold-face; all multiples of 6 are in bold-face because all multiples of 6 are also multiples of 2)

· In both sets, 6 is the least common multiple, and it's also the least common denominator.

Hope this made sense to you !!

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