Answer and Step-by-step explanation:
Let's try to add these two mixed numbers together. We have [tex]1\frac{3}{10}[/tex] and [tex]2\frac{5}{10}[/tex].
First, add the nonfractional parts together:
1 + 2 = 3
Now add the fractional parts. Because 3/10 and 5/10 already have a common denominator (10), we can simply add the numerators together:
[tex]\frac{3}{10} +\frac{5}{10} =\frac{3+5}{10} =\frac{8}{10}[/tex]
Add 8/10 to our whole number 3:
3 + 8/10 = [tex]3\frac{8}{10} =3\frac{4}{5}[/tex]
Clearly, [tex]3\frac{4}{5}[/tex] ≠ 5, which is why 1 3/10 + 2 5/10 ≠ 5.
Hope this helps!
