Answer:
[tex]\frac{1}{4} +\frac{2}{5}= \frac{13}{20}[/tex]
Decimal form: 0.65
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{2}{5}[/tex]
To add, you need to get the denominators to be the same, so find the lowest number that both 4 and 5 fit into (multiplication):
4, 8, 12, 16, 20
5, 10, 15, 20
20 is the lowest common multiple of both. So multiply [tex]\frac{1}{4}[/tex] by 5 (both top and bottom) and [tex]\frac{2}{5}[/tex] by 4 (top and bottom) so that the denominators will have the same value:
[tex]\frac{1(5)}{4(5)}+ \frac{2(4)}{5(4)}[/tex]
Simplify
[tex]\frac{5}{20}+ \frac{8}{20}[/tex]
Now you can add the numerators. Keep the denominators the same:
[tex]\frac{13}{20}[/tex]
This is the most simplified version.
