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Simplify. Write your answer using whole numbers and variables.\newline50q−502q\frac{50q - 50}{2q}

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Simplify mixed rational expressionsright chevron icon

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline50q−502q\frac{50q - 50}{2q}
  1. Identify common factor: First, we need to identify the common factor in the terms 50q50q and 502q\frac{50}{2}q. The common factor is 5050.
  2. Simplify second term: Now, we simplify the second term by dividing 5050 by 2q2q. This gives us 502q=25q\frac{50}{2q} = \frac{25}{q}.
  3. Rewrite expression: We rewrite the expression with the simplified second term: 50q−25q.50q - \frac{25}{q}.
  4. Find common denominator: To combine these terms into a single fraction, we need a common denominator. The common denominator for qq and 1/q1/q is qq. We multiply the first term by q/qq/q to get the common denominator.
  5. Combine terms: After multiplying, we have (50q×qq)−(25q)=(50q2q)−(25q)(50q \times \frac{q}{q}) - (\frac{25}{q}) = (\frac{50q^2}{q}) - (\frac{25}{q}).
  6. Final simplified form: Now we can combine the terms over the common denominator qq: (50q2−25)/q(50q^2 - 25)/q.
  7. Final simplified form: Now we can combine the terms over the common denominator qq: (50q2−25)/q(50q^2 - 25)/q.This is the simplified form of the expression using whole numbers and variables.

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