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No, not necessarily. The resulting fraction could still be simplified.

For example, if I take 1/4 + 2/8. The Lowest Common Denominator is 8.

2/8 + 2/8 = 4/8

But 4/8 is not the simplest form. 1/2 is.

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Michael Scalise

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2y ago
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Qa'ryeon WATSON

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2y ago

i think so

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NEAL LIN

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2y ago

yeah me too

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Q: When the least common denominator is used in adding or subtracting fractions, is the result always a fraction in its simplest form?
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How can knowing the GCF and LCM help you when you add subtract and multiply fractions?

Knowing the LCM will help when adding or subtracting unlike fractions. By finding the LCM of the denominators, (called the lowest common denominator) you can convert unlike to like fractions and proceed with the adding or subtracting. Knowing the GCF helps reduce a fraction. By finding the GCF of the numerator and the denominator and dividing both of them by it, you can reduce a fraction to its lowest terms (simplest form). If the GCF is 1, the fraction is in its simplest form. You can successfully multiply fractions without knowing the GCF or LCM.


What are simplest form for fractions?

If the GCF of the numerator and denominator is 1, the fraction is said to be in its simplest form.


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If the numerator and denominator of a fraction have a common factor (except for '1'), divide both numerator and denominator by their common factor. The fraction is in the simplest form when the numerator and denominator have no common factors.


Why is it helpful to write a number as a product of primes?

Because it helps in reducing fractions to their simplest terms and finding the lowest common denominator when adding or subtracting fractions


How do you write improper fractions in simplest form?

An improper fraction is already in it's simplest form as long as in the fraction part the denominator is bigger then the numerator.


How does finding the GCF help you simplify a fraction?

When adding and subtracting unlike fractions, it is necessary to find a least common denominator. It's the same process as finding an LCM. You can simplify a fraction by finding the GCF of the numerator and denominator and dividing them both by it.


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Find the GCF of the numerator and the denominator. Divide them both by it. If the GCF is 1, the fraction is in its simplest form.


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If the fractions do not all have the same denominator, find a common multiple of the denominators (ideally the lowest common multiple) and convert the fractions to equivalent fractions with this denominator. Now with all the fractions with the same denominator, add together the numerators. Finally, reduce the fraction to simplest terms, converting any improper fraction to a mixed number.


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Find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.


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Find the GCF of the numerator and denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.


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Find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.


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