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Simplify. Express your answer as a single fraction in simplest form. \newline8−8-5yz\frac{5}{yz}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline8−8-5yz\frac{5}{yz}
  1. Identify Numbers: Identify the whole number and the fraction in the expression.\newlineThe expression given is 8−5yz8 - \frac{5}{yz}. Here, 88 is the whole number and 5yz\frac{5}{yz} is the fraction.
  2. Convert Whole Number: Convert the whole number to a fraction with the same denominator as the given fraction.\newlineTo combine 88 with 5yz\frac{5}{yz}, we need to express 88 as a fraction with yzyz as the denominator. We do this by multiplying 88 by yzyz\frac{yz}{yz} which is equal to 11.\newline8×(yzyz)=8yzyz8 \times \left(\frac{yz}{yz}\right) = \frac{8yz}{yz}
  3. Rewrite Expression: Rewrite the expression with the whole number as a fraction.\newlineNow we have 8yzyz−5yz\frac{8yz}{yz} - \frac{5}{yz}. Both terms have the same denominator, so we can combine them.
  4. Combine Fractions: Combine the fractions.\newlineSince both fractions have the same denominator, we can subtract the numerators and keep the denominator the same.\newline(8yz−5)/yz(8yz - 5)/yz
  5. Check for Simplification: Check if the fraction can be simplified further.\newlineThe fraction (8yz−5)/yz(8yz - 5)/yz cannot be simplified further because the numerator and the denominator do not have any common factors other than 11.

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