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Which expression is equivalent to 
5(1)/(5)-(-5(1)/(6)) ?

5(1)/(5)+5(1)/(6)

-5(1)/(6)-5(1)/(5)

5(1)/(5)-5(1)/(6)

5(1)/(6)+(-5(1)/(5))

Which expression is equivalent to 515(516) 5 \frac{1}{5}-\left(-5 \frac{1}{6}\right) ?\newline515+516 5 \frac{1}{5}+5 \frac{1}{6} \newline516515 -5 \frac{1}{6}-5 \frac{1}{5} \newline515516 5 \frac{1}{5}-5 \frac{1}{6} \newline516+(515) 5 \frac{1}{6}+\left(-5 \frac{1}{5}\right)

Full solution

Q. Which expression is equivalent to 515(516) 5 \frac{1}{5}-\left(-5 \frac{1}{6}\right) ?\newline515+516 5 \frac{1}{5}+5 \frac{1}{6} \newline516515 -5 \frac{1}{6}-5 \frac{1}{5} \newline515516 5 \frac{1}{5}-5 \frac{1}{6} \newline516+(515) 5 \frac{1}{6}+\left(-5 \frac{1}{5}\right)
  1. Understand the expression: Understand the given expression.\newlineWe need to find the expression equivalent to 5(15)(5(16))5\left(\frac{1}{5}\right) - \left(-5\left(\frac{1}{6}\right)\right). This involves subtracting a negative number, which is the same as adding its positive counterpart.
  2. Rewrite and simplify: Rewrite the expression by removing the parentheses and simplifying the double negative. 5(1)/(5)(5(1)/(6))5(1)/(5) - (-5(1)/(6)) becomes 5/5+5/65/5 + 5/6.
  3. Simplify first fraction: Simplify the first fraction. 55\frac{5}{5} is equal to 11 because any number divided by itself is 11.
  4. Combine fractions: Combine the simplified first fraction with the second fraction. 1+561 + \frac{5}{6} remains as is because they are not like terms and cannot be combined further.
  5. Match with answer choices: Look at the answer choices and find the one that matches our simplified expression.\newlineThe expression that matches 1+561 + \frac{5}{6} is 5(15)+5(16)5\left(\frac{1}{5}\right) + 5\left(\frac{1}{6}\right).

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