What is the Least common Denominator (LCD) of 7/8 and 1/6?

Answer 1

The least common multiple of #6# and #8# is #24#. Hence:

#\frac{7}{8} + \frac{1}{6} = \frac{7 \cdot 3}{8 \cdot 3} + \frac{1 \cdot 4}{6 \cdot 4} = \frac{21}{24} + \frac{4}{24} = \frac{25}{24}#

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Answer 2

Skylar Adams

To find the least common denominator (LCD) of fractions, you need to identify the least common multiple (LCM) of the denominators of those fractions.

The denominators are 8 and 6.

The prime factorization of 8 is $2^3$ , and the prime factorization of 6 is $2 \times 3$ .

The LCM is the product of the highest powers of all prime factors involved, which in this case is $2^3 \times 3 = 24$ .

So, the least common denominator (LCD) of $\frac{7}{8}$ and $\frac{1}{6}$ is 24.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.