What is the lowest common denominator for 1/4, 3/5, and 7/9?

Answer 1

Lowest Common Denominator is #21#

Lowest Common Denominator of fractions is different from finding Lowest Common Denominator of natural numbers.

To find the Lowest Common Denominator of fractions,

one has to first find the Lowest Common Denominator of all the numerators, say it is #A#
and then Highest Common Factor of all the denominators, say it is #B#
Then #A/B# is the Lowest Common Denominator of fractions.
In the given example, we have #1#, #3# and #7# as numerator and as there is no common factor between them, we can multiply them to get their Lowest Common Denominator, which is #21# .
In the denominators we have #4#, #5# and #9# and again we do not have any common factor between which divides all these numbers and hence Highest Common Factor is #1#.
Hence, Lowest Common Denominator of fractions #1/4#, #3/5# and #7/9# is #21/1# or #21#.
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Answer 2

To find the lowest common denominator (LCD) for fractions, first factor the denominators into their prime factors. Then, identify the highest power of each prime factor that appears in any denominator. Multiply these highest powers together to find the LCD.

The prime factorization of the denominators: 4 = 2^2 5 = 5^1 9 = 3^2

The highest powers of each prime factor: 2^2, 3^2, 5^1

The LCD is the product of these highest powers: 2^2 * 3^2 * 5^1 = 4 * 9 * 5 = 180

Therefore, the lowest common denominator for the fractions 1/4, 3/5, and 7/9 is 180.

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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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