Q. Simplify. Express your answer as a single fraction in simplest form. 2x−w
Identify Expression: Identify the expression to be simplified.We have the expression 2x−w. To combine these terms into a single fraction, we need to have a common denominator.
Find Common Denominator: Find a common denominator.The first term already has a denominator of 2, and the second term, w, can be thought of as w/1. To combine these, we can rewrite w with a denominator of 2.w=(w×2)/(1×2)=2w/2
Rewrite with Common Denominator: Rewrite the expression with the common denominator.Now we rewrite the original expression using our common denominator of 2.2x−w=2x−22w
Combine Over Common Denominator: Combine the terms over the common denominator.Since both terms now have the same denominator, we can combine them into a single fraction.(x−2w)/2
Check for Further Simplification: Check if the fraction can be simplified further. The numerator x−2w does not have any common factors with the denominator 2, so the fraction is already in its simplest form.
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