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No. Sometimes it is the same as one of them.

If you are allowed to simplify the fractions first, you might even get a smaller number, but I'm not sure what your math teacher is going for in your case.

Q: Is the least common denominator of two fractions is always greater than the denominators of the fractions?

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Only if you have just two fractions.

The first step, to add, subtract, or compare fractions, is always to convert the fractions to equivalent fractions, that all have the same denominator. You can use one of several techniques to get the LEAST common denominator, or simply multiply the two denominators to get a common denominator (which in this case may, or may not, be the smallest common denominator).

Not always. If one denominator is a multiple of the other, the LCD will be the larger one.

Fractions that are less than one are known as proper fractions. Their denominators are greater than their numerators. Their reciprocals would have numerators greater than their denominators, making them improper. Improper fractions are greater than one.

I learned to always change the denominators before adding or subtracting the numerators. You must always have a common denominator before adding or subtracting.

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Only if you have just two fractions.

The first step, to add, subtract, or compare fractions, is always to convert the fractions to equivalent fractions, that all have the same denominator. You can use one of several techniques to get the LEAST common denominator, or simply multiply the two denominators to get a common denominator (which in this case may, or may not, be the smallest common denominator).

No. Only if you're adding or subtracting and then only if the denominators are different.

There is always an LCD for a set of fractions, even if it's only the product of the denominators.

Not always. If one denominator is a multiple of the other, the LCD will be the larger one.

Fractions that are less than one are known as proper fractions. Their denominators are greater than their numerators. Their reciprocals would have numerators greater than their denominators, making them improper. Improper fractions are greater than one.

Answer: I assume you are talking about the least common denominator. If you multiply the denominators, you will get a common denominator. This will always work, if you need to add, subtract, or compare fractions. However, the common denominator you thus get will not always be the LEAST common denominator. Examples: * For denominators 7 and 11, the least common denominator is, indeed, the product (77). * For denominators 4 and 6, the product is 24, but the least common denominator is 12. * The difference can be more extreme, too; for denominators 100 and 200, the product is 20,000, but the least common denominator is only 200. * Or even more extreme: if both fractions have the denominator 551, the product is 303,601. The least common denominator, of course, is just 551. Answer: I am not sure but it's Lcd

The greater common denominator of any two or more whole numbers, such as 13 and 41, will always be one (1) because 'common denominator' refers to the denominators of two or more fractions or mixed numbers, not whole numbers. So, a set of whole numbers (x,x) would have to be converted to their fraction equivalents, i.e., x/1, which will always yield a denominator of 1.

I learned to always change the denominators before adding or subtracting the numerators. You must always have a common denominator before adding or subtracting.

Both proper and improper fractions have a numerator and a denominator. In a proper fraction the numerator is always less than the denominator. In an improper function the numerator is greater than the denominator

Not always but they need to have the same denominators when adding or subtracting them.

The common denominator of any two or more whole numbers will always be one (1) because common denominators refers to the denominators of two or more fractions or mixed numbers, not whole numbers. So, a set of whole numbers would have to be converted to their fraction equivalents, e.g., x/1, which will always yield a denominator of 1.