Q: Is the sum of two fractions always a fraction?

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The two fractions are -181/2 and 191/2.

That their sum is always equal to the denominator.

The sum of two fractions will only be a whole number if the fractions have a common denominator. When the denominators are different, the sum will be a fraction with a different denominator, making it impossible to be a whole number. Thus, estimating the sum of two fractions will generally result in a fraction, not a whole number.

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.

Yes. The set of rational numbers is infinitely dense.If p/q and r/s are any two fractions then (p/q + r/s)/2 is a fraction which is between the two.

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None of the items in the list.

The two fractions are -181/2 and 191/2.

That their sum is always equal to the denominator.

The sum of two fractions will only be a whole number if the fractions have a common denominator. When the denominators are different, the sum will be a fraction with a different denominator, making it impossible to be a whole number. Thus, estimating the sum of two fractions will generally result in a fraction, not a whole number.

No. Each mixed number is made of a whole number and a fraction. When you add them, you have the sum of two whole numbers and two fractions. Since each whole number must be at least ' 1 ', the sum of two whole numbers must be at least ' 2 ', and the two fractions will always make it more than ' 2 '.

It depends on your level of numerical skill. You can convert the decimal to an approximate fraction and estimate the sum of the two fractions, or you can convert the fraction to an approximate decimal and estimate the sum of the two decimals or, if you are more able you just estimate their sum directly.

No. 5/8+5/8=10/8=1 1/4First of all it is not reduced and secondly it is an improper fraction.We normally call what you have said a common fraction.

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.

the sum the sum

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Yes. The set of rational numbers is infinitely dense.If p/q and r/s are any two fractions then (p/q + r/s)/2 is a fraction which is between the two.

multiply the two fractions