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Simplify. Express your answer as a single fraction in simplest form. \newline6−8pq5\frac{6 - 8pq}{5}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline6−8pq5\frac{6 - 8pq}{5}
  1. Identify like fractions: Identify the like fractions.\newlineTo combine the whole number with the fraction, we need to express the whole number as a fraction with the same denominator as the given fraction. In this case, we want to combine 66 with −8pq5-\frac{8pq}{5}, so we need to express 66 with a denominator of 55.
  2. Convert whole number to fraction: Convert the whole number to a fraction with the same denominator.\newlineWe can write 66 as (6×5)/(1×5)(6 \times 5)/(1 \times 5) to get a denominator of 55. This gives us (30/5)(30/5).
  3. Combine fractions: Combine the fractions.\newlineNow we have (305)−(8pq5)(\frac{30}{5}) - (\frac{8pq}{5}). Since they have the same denominator, we can combine the numerators and keep the denominator the same.\newline(30−8pq5)(\frac{30 - 8pq}{5})
  4. Check for simplification: Check for any possible simplification.\newlineThe numerator 30−8pq30 - 8pq cannot be simplified further because 3030 and 8pq8pq do not have any common factors other than 11. Therefore, the fraction is already in its simplest form.

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