Q. Simplify. Express your answer as a single fraction in simplest form. 2s+t
Identify Given Expression and Goal: Identify the given expression and the goal.We have the expression 2s+t and we want to express it as a single fraction in simplest form.
Find Common Denominator: Find a common denominator for the terms in the expression.Since t can be written as t/1, we need to find a common denominator for 1/2 and 1/1. The common denominator is 2.
Express t with Common Denominator: Express t with the common denominator.To express t with the common denominator of 2, we multiply both the numerator and the denominator of 1t by 2, which gives us 22t.
Combine Fractions Over Common Denominator: Combine the fractions over the common denominator.Now we can combine 2s and 22t into a single fraction:(2s)+(22t)=2s+2t
Check for Further Simplification: Check if the resulting fraction can be simplified further. The fraction (s+2t)/2 is already in simplest form because s and t are variables and we have no information that would allow us to simplify the expression further.
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