Question

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

Answer 1

It will be more than one whole.

Answer 2

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, $\frac{3}{2}$

The second fraction is, $\frac{5}{2}$

Now adding two fractions, we get:

$\frac{3}{2}+\frac{5}{2}$

$=\frac{8}{2}$

$=4$

Example 2:

The first fraction is, $\frac{5}{2}$

The second fraction is, $\frac{7}{2}$

Now adding two fractions, we get:

$\frac{5}{2}+\frac{7}{2}$

$=\frac{12}{2}$

$=6$

Example 3:

The first fraction is, $\frac{2}{2}$

The second fraction is, $\frac{3}{2}$

Now adding two fractions, we get:

$\frac{2}{2}+\frac{3}{2}$

$=\frac{5}{2}$

$=2.5$

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.