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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That is correct.
according to sum of fractions: a/b + c/d = (ad+bc)/bd hence for example: a=c=1 , b=d=2: (ad+bc)/bd = (2+2)/2x2 = 4/4 = 1 sagy
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The reciprocal of a fraction is when you flip the two fractions as shown . 1/8 = 8/1
No. While the sum of two qudratics cannot have a power greater than two, it could have a power of 2, 1 or 0. x2 + 1 is one quadratic (2-x)(2+x) is another quadratic. Their sum is 1, a constant (power = 0).