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Simplify. Express your answer as a single fraction in simplest form. \newlinet31\frac{t}{3} - 1

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Q. Simplify. Express your answer as a single fraction in simplest form. \newlinet31\frac{t}{3} - 1
  1. Identify Expression: Identify the expression to be simplified.\newlineWe have the expression t31\frac{t}{3} - 1. To combine these terms into a single fraction, we need to have a common denominator.
  2. Find Common Denominator: Find a common denominator.\newlineThe common denominator for the terms t3\frac{t}{3} and 11 is 33. We can express 11 as 33\frac{3}{3} to have the same denominator.
  3. Rewrite with Common Denominator: Rewrite the expression with the common denominator.\newlineWe rewrite 11 as 33\frac{3}{3} and combine it with t3\frac{t}{3}.\newlinet333\frac{t}{3} - \frac{3}{3}
  4. Combine Fractions: Combine the fractions.\newlineNow that we have a common denominator, we can combine the numerators.\newline(t3)/3(t - 3)/3
  5. Check for Simplification: Check if the fraction can be simplified further.\newlineThe fraction (t3)/3(t - 3)/3 is already in its simplest form because tt is a variable and 33 is a prime number, so they have no common factors other than 11.

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