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Simplify. Express your answer as a single fraction in simplest form. \newlinezz-5y5z4\frac{5y^5z}{4}

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Q. Simplify. Express your answer as a single fraction in simplest form. \newlinezz-5y5z4\frac{5y^5z}{4}
  1. Write with common denominator: Write the given expression with a common denominator.\newlineTo combine the terms into a single fraction, we need to express the whole number zz as a fraction with the same denominator as 5y5z4\frac{5y^5z}{4}. The whole number zz can be written as z1\frac{z}{1}, so we multiply both the numerator and the denominator by 44 to get the common denominator of 44.\newlinez5y5z4z - \frac{5y^5z}{4}\newline=z×445y5z4= \frac{z \times 4}{4} - \frac{5y^5z}{4}\newline=4z45y5z4= \frac{4z}{4} - \frac{5y^5z}{4}
  2. Combine fractions: Combine the fractions.\newlineNow that we have a common denominator, we can combine the numerators.\newline(4z)/4(5y5z)/4(4z)/4 - (5y^5z)/4\newline= (4z5y5z)/4(4z - 5y^5z)/4
  3. Factor out common factor: Factor out the common factor zz in the numerator.\newlineWe can factor zz out of the numerator to simplify the expression further.\newline(4z5y5z)/4(4z - 5y^5z)/4\newline= z(45y5)/4z(4 - 5y^5)/4
  4. Check for simplification: Check for any further simplification.\newlineThe fraction z(45y5)/4z(4 - 5y^5)/4 is already in simplest form. There are no common factors between the numerator and the denominator that can be canceled out, and the expression inside the parentheses cannot be simplified further.

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