Q. Simplify. Express your answer as a single fraction in simplest form. v43+10w
Identify common denominator: Identify the common denominator for the fractions.Since the first term is v43 and the second term is 10w (which can be written as 110w), the common denominator is v4.
Express with common denominator: Express both terms with the common denominator.The first term is already over v4, so it remains v43. The second term needs to be multiplied by v4v4 to have the common denominator, so it becomes 1⋅v410w⋅v4.
Combine over common denominator: Combine the terms over the common denominator.Now we add the two fractions together: (v43)+(v410w⋅v4)=v43+10w⋅v4.
Simplify if possible: Simplify the expression if possible.In this case, there is no further simplification possible, as 3 and 10w×v4 do not have common factors.
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