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Q: What is true about the numerator of two like fractions with a sum of 1?

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They will sum to the denominator.

That their sum is always equal to the denominator.

The sum of two fractions will be equal to one when the numerator and the denominator of their sum are the same. Example: 1/3 + 2/3 = 3/3 or 1

There are infinitely many ways.

Only fractions with the same denominator can be added directly. Addition of such fractions can be achieved by adding their numerators to form the numerator of the sum, with the common denominator of the added fractions constituting the denominator of the sum. In this instance, 2/3 = 6/9, and 4/9 + 6/9 = 10/9.

A true statement.

Multiply the denominator by the whole number. Add the numerator to that total. Put that sum over the original denominator.

If you are adding, the result is a sum. This terminology applies whether the addends (the terms you are adding) are whole numbers or they are expressed as fractions or in decimal notation. The same is true of the sum.

You can represent the two fractions with one fraction with a numerator equal to the sum of the two individual numerators (with sign) and a denominator equal to just one of the two denominators.

An improper fraction is when the numerator is a greater sum then the denominator. Example- 10/5. To change that into a proper fraction you divide the numerator by the denominator. Example - 2 1/5

No. By definition, each rational number must be expressible exactly as a ratio of two integers. A common denominator of the denominators of these fractions can always be found by multiplying the two denominators together, and this product will still be an integer. The two original fractions can then be converted to this common denominator by multiplying the numerator of each one by the denominator of the other, again producing only integer products, and adding these two numerator products. This sum divided by the common denominator will be the sum of the original fractions, and, as demonstrated above, its numerator and denominator will both be integers. Therefore, this sum will be rational.

if you are adding two fractions that are both greater than 1/2, what must be true about the sum?

1/2 + 1/3 + 1/6 is one example.

To find the sum of two mixed numbers, turn the mixed numbers into improper fractions (multiply the base with the denominator and add the numerator), then add the two fractions. To add the two fractions, find the LCD (lowest common denominator) and add the two numerators, but leave the denominators the same.

The sum, just like regular adding.

the sum the sum

In order to add fractions, they must have the same denominators. If the fractions you wish to add do not already have the same denominators, they can be made to do so by finding the right number by which to multiply both the numerator and the denominator of each fraction. To find this number, multiply all the distinct denominators together, then multiply both the numerator and denominator of each fraction by a number found by the dividing the product of the distinct denominators by the denominator of the particular fraction concerned. All the fractions will then have the same denominator. Add the numerators of such fractions together to find the numerator of the sum; its denominator will be the one common to all the fractions.

Infinitely many ways, since if you have found one way then take one of the fractions and replace it by an equivalent fraction. Repeat for ever.

-- Find a common denominator. (It will be a number of which all three denominators are factors. The best choice is their least common multiple.) -- Change the fractions to their equivalents with the common denominator. -- Then add their numerators to get the numerator of their sum.

2/2

If I had some fractions, I might. But since I don't, I won't.

The answer to an addition is called the sum. Fractions and other numbers.

A conjecture is an opinion based on incomplete information, or a guess. It need not be true - or even sensible. So my conjecture is that the sum of two fractions is greater than three quarters. That is a nonsensical conjecture, but it is a conjecture and that is what the question requires.

the sum

A fraction is greater than one if the the top number (numerator) is greater than the lower number (denominator).