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If the sum of two fractions have the same number of numerator and denominator.
Fraction is nothing but a part of 1. When we say 1/8 it means 1 has been divided into 8 equal parts.

So if for example I consider it as a whole cake and cut it into 8 equal slices or parts and I eat 3 parts and you eat the balance, 5 parts, then the fraction which I eat is 3/8 and you eat is 5/8 and when we add both we get again 3/8+5/8 = 8/8 =1 i.e the whole cake we started with.

Hence if the two fractions which you are adding are total number of equal parts a 1 has been divided into it will give you exactly one. For eg. 1/3 and 2/3, 2/5 and 3/5, 7/9 and 2/9 etc....

It's easy to tell if the two fractions have a common denominator.

In that case, their sum is exactly ' 1 ' if the sum of their numerators is equal to their common denominator.

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Q: How do two fractions have a sum of exactly 1?
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Related questions

How do two fractions have sum of exactly 1?

one half and other half equals 1 exactly.


When does the sum of two fractions equal one?

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


What two fractions have a sum of 13 out of 24 and have a product of 1 out of 16?

The two fractions are 1/6 and 3/8


What are two fractions that make a sum of two?

1/2 + 1 1/2=2


When does the sum of two fractions equal 1?

1/2 + 1/2 = 1


How can you tell whether the sum of two fractions with a common denominator is less than 1?

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


What is true about the numerators of two like fractions with a sum of 1?

That their sum is always equal to the denominator.


Two fractions who sum is 1?

1half+1half 3quarters+1quarter


What two fractions equal the sum 5 6ths?

1/3 + 1/2


What is -0.25in a sum of two fractions?

-1/8 and -1/8 = -1/4 which is the same as -0.25


When you estimate the sum of 2 fractions the estimate is never a whole number?

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.


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

They add to the denominator!