Answer:
[tex]\boxed{\boxed{\sf \cfrac{31}{55}}\: \sf or\:\boxed{\sf 0.563636}}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{1}{5} +\cfrac{4}{11}[/tex]
Let's find the Least Common Denominator (LCD) 1/5, 4/11 or Least Common Multiple (LCM) of 5 and 11.
Multiples of 5: 5, 10, 15, ... , 45, 50, 55....
Multiples of 11: 11, 22, 33, 44, 55....
So the LCM of 11, 5:- 55
Now, Adjust the fractions based on the LCM:
[tex]\sf \cfrac{1\times 11}{5\times 11} +\cfrac{4\times 5}{11\times 5}[/tex]
Simplify: ( Denominators are now the same)
[tex]\sf \cfrac{11}{55}+\cfrac{20}{55}[/tex]
Apply fraction rule:
[tex]\boxed{\sf \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}}[/tex]
[tex]\sf \cfrac{11+20}{55}[/tex]
Add the numbers 11+20 = 31
[tex]\sf \cfrac{31}{55}[/tex]
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