Q. Simplify. Express your answer as a single fraction in simplest form. 2z−3
Find Common Denominator: To simplify the expression 2z−3 as a single fraction, we need to combine the terms into a single fraction. We can do this by finding a common denominator, which in this case is 2, since the first term is already over 2 and the second term is a whole number that can be thought of as a fraction with a denominator of 1.
Convert Whole Number to Fraction: First, we express the whole number 3 as a fraction with the common denominator of 2. To do this, we multiply 3 by 22, which is equivalent to 1, to get 26.Calculation: 3×(22)=26
Rewrite Expression with Common Denominator: Now we rewrite the original expression with the common denominator: 2z−26
Combine Numerators: Next, we combine the numerators while keeping the common denominator: 2z−6
Simplify Final Expression: The expression (z−6)/2 is already in simplest form. There are no common factors between the numerator and the denominator that can be cancelled out, and the expression is written as a single fraction.
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