Answer : The solution must be more than 1.
Step-by-step explanation :
Let us assume the two fractions that are both greater than 1/2.
Example 1:
The first fraction is, [tex]\frac{3}{2}[/tex]
The second fraction is, [tex]\frac{5}{2}[/tex]
Now adding two fractions, we get:
[tex]\frac{3}{2}+\frac{5}{2}[/tex]
[tex]=\frac{8}{2}[/tex]
[tex]=4[/tex]
Example 2:
The first fraction is, [tex]\frac{5}{2}[/tex]
The second fraction is, [tex]\frac{7}{2}[/tex]
Now adding two fractions, we get:
[tex]\frac{5}{2}+\frac{7}{2}[/tex]
[tex]=\frac{12}{2}[/tex]
[tex]=6[/tex]
Example 3:
The first fraction is, [tex]\frac{2}{2}[/tex]
The second fraction is, [tex]\frac{3}{2}[/tex]
Now adding two fractions, we get:
[tex]\frac{2}{2}+\frac{3}{2}[/tex]
[tex]=\frac{5}{2}[/tex]
[tex]=2.5[/tex]
From this we conclude that if we are adding two fractions that are both greater than 1/2 then the sum of the two fractions will always be greater than 1.
Hence, the solution must be more than 1.
A statement which must be true about the sum of the two fractions is; The sum of the two fractions must be greater than 1.
The fractions can be represented as follows;
The sum of both of the inequalities is;
Therefore, the sum of the two fractions must be greater than 1.
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