((5)/(1)+(5)/(9)-(5)/(11))-((5)/(9)-(5)/(11)-5)

Question

((5)/(1)+(5)/(9)-(5)/(11))-((5)/(9)-(5)/(11)-5)

Answer 1

To solve the expression \((\frac{5}{1} + \frac{5}{9} - \frac{5}{11}) - (\frac{5}{9} - \frac{5}{11} - 5)\), we need to follow these steps:1. Simplify the terms inside each set of parentheses.2. Subtract the second set of parentheses from the first set.Let's start with the first set of parentheses:

Convert

to

:

To combine these fractions, find a common denominator. The least common multiple (LCM) of 9 and 11 is 99.Convert

and

to have a denominator of 99:

Now, add and subtract these fractions:

So, the first set of parentheses simplifies to:

Next, simplify the second set of parentheses:

Again, find a common denominator for

and

:

Subtract these fractions:

So, the second set of parentheses simplifies to:

Now, subtract the second set of parentheses from the first set:

Distribute the negative sign:

Combine like terms:

Thus, the final answer is:

Soru

((5)/(1)+(5)/(9)-(5)/(11))-((5)/(9)-(5)/(11)-5)

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