Answer:
43/55.
Step-by-step explanation:
[tex]\frac{2}{11} +\frac{3}{5}[/tex]
Step 1: Explain/define.
To add fractions that have different denominators, you must first find the least common multiple (of the denominators).
An easy way to do this is to list the denominators' multiples.
Step 2: Solve.
11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
The smallest number both denominators have in common is 55.
Now, we change both fractions to where they have denominators of 55.
**WHATEVER YOU MULTIPLY THE DENOMINATOR BY, MULTIPLY IT BY THE NUMERATOR AS WELL**
[tex]\frac{2}{11} *\frac{5}{5} =\frac{10}{55}[/tex]
[tex]\frac{3}{5} *\frac{11}{11} =\frac{33}{55}[/tex]
Now, we add the fractions as normal, while keeping the denominators the same.
[tex]\frac{10}{55} +\frac{33}{55} =\frac{43}{55}[/tex]
Step 3: Conclude.
43/55 is already in the simplest form. Therefore, [tex]2/11 + 3/5 = 43/55.[/tex]
