Answer:
7/22
Step-by-step explanation:
Step 1: Define/explain.
To subtract fractions with different denominators, you must first find the least common denominator (LCM).
You can do this by listing the multiples of each denominator.
Step 2: Solve.
11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
22 is the LCM.
Now, we change the fractions to where they both have denominators of 22.
**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**
[tex]9/11*2/2=18/22[/tex]
[tex]1/2*11/11=11/22[/tex]
Now, subtract as normal.
[tex]18/22-11/22=7/22[/tex]
[tex]7/22 (simplified).[/tex]
Step 3: Conclude.
Therefore, 9/11 - 1/2 = 7/22.
