Q. Simplify. Express your answer as a single fraction in simplest form. z−45y5z
Write with common denominator: Write the given expression with a common denominator.To combine the terms into a single fraction, we need to express the whole numberz as a fraction with the same denominator as 45y5z. The whole number z can be written as 1z, so we multiply both the numerator and the denominator by 4 to get the common denominator of 4.z−45y5z=4z×4−45y5z=44z−45y5z
Combine fractions: Combine the fractions.Now that we have a common denominator, we can combine the numerators.(4z)/4−(5y5z)/4= (4z−5y5z)/4
Factor out common factor: Factor out the common factor z in the numerator.We can factor z out of the numerator to simplify the expression further.(4z−5y5z)/4= z(4−5y5)/4
Check for simplification: Check for any further simplification.The fraction z(4−5y5)/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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