What is the least common denominator of 3/4, 3/8, and 1/5?

Answer 1

#40#

If we look at the prime factorizations of the denominators, we have

#4 = 2^2# #8 = 2^3# #5 = 5^1#
The least common denominator will be the minimal product containing all factors above to their appropriate powers. In this case, that would be #2^3*5#. Thus, the least common denominator is #2^3*5=8*5=40#
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Answer 2

To find the least common denominator (LCD) of fractions, first factor the denominators of each fraction into their prime factors. Then, take the highest power of each prime factor that appears in any denominator.

For the fractions ( \frac{3}{4} ), ( \frac{3}{8} ), and ( \frac{1}{5} ):

  • ( 4 = 2^2 )
  • ( 8 = 2^3 )
  • ( 5 ) is already a prime number.

Now, the LCD is the product of the highest power of each prime factor: ( LCD = 2^3 \times 5 = 8 \times 5 = 40 ).

So, the least common denominator of ( \frac{3}{4} ), ( \frac{3}{8} ), and ( \frac{1}{5} ) is ( 40 ).

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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.

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.

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.

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.

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